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Simplifying 4(-7 + 2m) + 4(1 + -1m) = -36 (-7 * 4 + 2m * 4) + 4(1 + -1m) = -36 (-28 + 8m) + 4(1 + -1m) = -36 -28 + 8m + (1 * 4 + -1m * 4) = -36 -28 + 8m + (4 + -4m) = -36 Reorder the terms: -28 + 4 + 8m + -4m = -36 Combine like terms: -28 + 4 = -24 -24 + 8m + -4m = -36 Combine like terms: 8m + -4m = 4m -24 + 4m = -36 Solving -24 + 4m = -36 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 4m = -36 + 24 Combine like terms: -24 + 24 = 0 0 + 4m = -36 + 24 4m = -36 + 24 Combine like terms: -36 + 24 = -12 4m = -12 Divide each side by '4'. m = -3 Simplifying m = -3
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