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Simplifying 7(m + -7) + 5(2m + 6) = 32 Reorder the terms: 7(-7 + m) + 5(2m + 6) = 32 (-7 * 7 + m * 7) + 5(2m + 6) = 32 (-49 + 7m) + 5(2m + 6) = 32 Reorder the terms: -49 + 7m + 5(6 + 2m) = 32 -49 + 7m + (6 * 5 + 2m * 5) = 32 -49 + 7m + (30 + 10m) = 32 Reorder the terms: -49 + 30 + 7m + 10m = 32 Combine like terms: -49 + 30 = -19 -19 + 7m + 10m = 32 Combine like terms: 7m + 10m = 17m -19 + 17m = 32 Solving -19 + 17m = 32 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 17m = 32 + 19 Combine like terms: -19 + 19 = 0 0 + 17m = 32 + 19 17m = 32 + 19 Combine like terms: 32 + 19 = 51 17m = 51 Divide each side by '17'. m = 3 Simplifying m = 3
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