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