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Simplifying -4(8m + 7) = -4(1 + 2m) Reorder the terms: -4(7 + 8m) = -4(1 + 2m) (7 * -4 + 8m * -4) = -4(1 + 2m) (-28 + -32m) = -4(1 + 2m) -28 + -32m = (1 * -4 + 2m * -4) -28 + -32m = (-4 + -8m) Solving -28 + -32m = -4 + -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. -28 + -32m + 8m = -4 + -8m + 8m Combine like terms: -32m + 8m = -24m -28 + -24m = -4 + -8m + 8m Combine like terms: -8m + 8m = 0 -28 + -24m = -4 + 0 -28 + -24m = -4 Add '28' to each side of the equation. -28 + 28 + -24m = -4 + 28 Combine like terms: -28 + 28 = 0 0 + -24m = -4 + 28 -24m = -4 + 28 Combine like terms: -4 + 28 = 24 -24m = 24 Divide each side by '-24'. m = -1 Simplifying m = -1
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