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Simplifying -7 + -8(m + 8) = 8m + -39 Reorder the terms: -7 + -8(8 + m) = 8m + -39 -7 + (8 * -8 + m * -8) = 8m + -39 -7 + (-64 + -8m) = 8m + -39 Combine like terms: -7 + -64 = -71 -71 + -8m = 8m + -39 Reorder the terms: -71 + -8m = -39 + 8m Solving -71 + -8m = -39 + 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. -71 + -8m + -8m = -39 + 8m + -8m Combine like terms: -8m + -8m = -16m -71 + -16m = -39 + 8m + -8m Combine like terms: 8m + -8m = 0 -71 + -16m = -39 + 0 -71 + -16m = -39 Add '71' to each side of the equation. -71 + 71 + -16m = -39 + 71 Combine like terms: -71 + 71 = 0 0 + -16m = -39 + 71 -16m = -39 + 71 Combine like terms: -39 + 71 = 32 -16m = 32 Divide each side by '-16'. m = -2 Simplifying m = -2
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