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Simplifying -5 + 8(m + -7) = -8m + -29 Reorder the terms: -5 + 8(-7 + m) = -8m + -29 -5 + (-7 * 8 + m * 8) = -8m + -29 -5 + (-56 + 8m) = -8m + -29 Combine like terms: -5 + -56 = -61 -61 + 8m = -8m + -29 Reorder the terms: -61 + 8m = -29 + -8m Solving -61 + 8m = -29 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -61 + 8m + 8m = -29 + -8m + 8m Combine like terms: 8m + 8m = 16m -61 + 16m = -29 + -8m + 8m Combine like terms: -8m + 8m = 0 -61 + 16m = -29 + 0 -61 + 16m = -29 Add '61' to each side of the equation. -61 + 61 + 16m = -29 + 61 Combine like terms: -61 + 61 = 0 0 + 16m = -29 + 61 16m = -29 + 61 Combine like terms: -29 + 61 = 32 16m = 32 Divide each side by '16'. m = 2 Simplifying m = 2
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