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Simplifying -9(2m + -8) = -6 + -2(m + 1) Reorder the terms: -9(-8 + 2m) = -6 + -2(m + 1) (-8 * -9 + 2m * -9) = -6 + -2(m + 1) (72 + -18m) = -6 + -2(m + 1) Reorder the terms: 72 + -18m = -6 + -2(1 + m) 72 + -18m = -6 + (1 * -2 + m * -2) 72 + -18m = -6 + (-2 + -2m) Combine like terms: -6 + -2 = -8 72 + -18m = -8 + -2m Solving 72 + -18m = -8 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 72 + -18m + 2m = -8 + -2m + 2m Combine like terms: -18m + 2m = -16m 72 + -16m = -8 + -2m + 2m Combine like terms: -2m + 2m = 0 72 + -16m = -8 + 0 72 + -16m = -8 Add '-72' to each side of the equation. 72 + -72 + -16m = -8 + -72 Combine like terms: 72 + -72 = 0 0 + -16m = -8 + -72 -16m = -8 + -72 Combine like terms: -8 + -72 = -80 -16m = -80 Divide each side by '-16'. m = 5 Simplifying m = 5
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