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Simplifying -8(1 + 7m) = -8m + 40 (1 * -8 + 7m * -8) = -8m + 40 (-8 + -56m) = -8m + 40 Reorder the terms: -8 + -56m = 40 + -8m Solving -8 + -56m = 40 + -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. -8 + -56m + 8m = 40 + -8m + 8m Combine like terms: -56m + 8m = -48m -8 + -48m = 40 + -8m + 8m Combine like terms: -8m + 8m = 0 -8 + -48m = 40 + 0 -8 + -48m = 40 Add '8' to each side of the equation. -8 + 8 + -48m = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -48m = 40 + 8 -48m = 40 + 8 Combine like terms: 40 + 8 = 48 -48m = 48 Divide each side by '-48'. m = -1 Simplifying m = -1
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