- 8(4a - 4) - 1 = 14 - 8a
- Distribute: 32a - 32 - 1 = 14 - 8a
- Simplify: 32a - 33 = 14 - 8a
- Add 8a to both sides: 40a - 33 = 14
- Add 33 to both sides: 40a = 47
- Divide by 40: a = 47/40
- 4(-8x + 5) = -30x - 26
- Distribute: -32x + 20 = -30x - 26
- Add 32x to both sides: 20 = 2x - 26
- Add 26 to both sides: 46 = 2x
- Divide by 2: x = 23
- 27 = 46 + 3x - x
- Simplify right side: 27 = 46 + 2x
- Subtract 46 from both sides: -19 = 2x
- Divide by 2: x = -19/2
- 38 + 7k = 8(k + 4)
- Distribute: 38 + 7k = 8k + 32
- Subtract 7k from both sides: 38 = k + 32
- Subtract 32 from both sides: k = 6
- -2(4 - x) = 6(x + 4) + 4x
- Distribute: -8 + 2x = 6x + 24 + 4x
- Simplify right side: -8 + 2x = 10x + 24
- Subtract 2x from both sides: -8 = 8x + 24
- Subtract 24 from both sides: -32 = 8x
- Divide by 8: x = -4
- 0.05z + 0.2 = 0.15z - 10.5
- Subtract 0.05z from both sides: 0.2 = 0.10z - 10.5
- Add 10.5 to both sides: 10.7 = 0.10z
- Divide by 0.10: z = 107
- 4(6 + 4x) = 0
- Distribute: 24 + 16x = 0
- Subtract 24 from both sides: 16x = -24
- Divide by 16: x = -3/2
- x/8 - x/9 = 1
- Find common denominator (72): (9x - 8x)/72 = 1
- Simplify: x/72 = 1
- Multiply by 72: x = 72
Parent Tip: Review the logic above to help your child master the concept of writing linear equations worksheet.
