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Simplifying -8(2m + 6) = 8(1 + -1m) Reorder the terms: -8(6 + 2m) = 8(1 + -1m) (6 * -8 + 2m * -8) = 8(1 + -1m) (-48 + -16m) = 8(1 + -1m) -48 + -16m = (1 * 8 + -1m * 8) -48 + -16m = (8 + -8m) Solving -48 + -16m = 8 + -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. -48 + -16m + 8m = 8 + -8m + 8m Combine like terms: -16m + 8m = -8m -48 + -8m = 8 + -8m + 8m Combine like terms: -8m + 8m = 0 -48 + -8m = 8 + 0 -48 + -8m = 8 Add '48' to each side of the equation. -48 + 48 + -8m = 8 + 48 Combine like terms: -48 + 48 = 0 0 + -8m = 8 + 48 -8m = 8 + 48 Combine like terms: 8 + 48 = 56 -8m = 56 Divide each side by '-8'. m = -7 Simplifying m = -7
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