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Simplifying -4(8m + -6) = 8m + -16 Reorder the terms: -4(-6 + 8m) = 8m + -16 (-6 * -4 + 8m * -4) = 8m + -16 (24 + -32m) = 8m + -16 Reorder the terms: 24 + -32m = -16 + 8m Solving 24 + -32m = -16 + 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. 24 + -32m + -8m = -16 + 8m + -8m Combine like terms: -32m + -8m = -40m 24 + -40m = -16 + 8m + -8m Combine like terms: 8m + -8m = 0 24 + -40m = -16 + 0 24 + -40m = -16 Add '-24' to each side of the equation. 24 + -24 + -40m = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -40m = -16 + -24 -40m = -16 + -24 Combine like terms: -16 + -24 = -40 -40m = -40 Divide each side by '-40'. m = 1 Simplifying m = 1
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