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Algebra worksheet focusing on simplifying expressions using the distributive property and combining like terms.

Worksheet titled "Distributive Property & Combining Like Terms" with 12 algebraic expressions to simplify using the distributive property and combining like terms.

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1) 6x - 2(x + 4) = 6x - 2x - 8 = 4x - 8
2) -9 + 2(1 - 3s) = -9 + 2 - 6s = -7 - 6s
3) 9(-6a + 3) - 4 = -54a + 27 - 4 = -54a + 23
4) 3x + 3(1 + 8x) = 3x + 3 + 24x = 27x + 3
5) -( -n + 2) - 2n = n - 2 - 2n = -n - 2
6) (s - 3)7.2 + 3s = 7.2s - 21.6 + 3s = 10.2s - 21.6
7) 1/2 + 3(2u + 1/2) = 1/2 + 6u + 3/2 = 6u + 2
8) 2x + 3(x - 1) = 2x + 3x - 3 = 5x - 3
9) -9(1 - 9a) + 7(2 + 9a) = -9 + 81a + 14 + 63a = 144a + 5
10) 1/2(3x - 9) + 13x = 3/2x - 9/2 + 13x = (3/2 + 26/2)x - 9/2 = 29/2x - 9/2
11) -(y + 3) + 8(1 - 6y) = -y - 3 + 8 - 48y = -49y + 5
12) -3(8x + 4) + 1/2(6x - 24) = -24x - 12 + 3x - 12 = -21x - 24

Parent Tip: Review the logic above to help your child master the concept of solving equations with distributive property and combining like terms worksheet.

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