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Simplifying 4(-13 + -2m) = -1(4m + -12) (-13 * 4 + -2m * 4) = -1(4m + -12) (-52 + -8m) = -1(4m + -12) Reorder the terms: -52 + -8m = -1(-12 + 4m) -52 + -8m = (-12 * -1 + 4m * -1) -52 + -8m = (12 + -4m) Solving -52 + -8m = 12 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -52 + -8m + 4m = 12 + -4m + 4m Combine like terms: -8m + 4m = -4m -52 + -4m = 12 + -4m + 4m Combine like terms: -4m + 4m = 0 -52 + -4m = 12 + 0 -52 + -4m = 12 Add '52' to each side of the equation. -52 + 52 + -4m = 12 + 52 Combine like terms: -52 + 52 = 0 0 + -4m = 12 + 52 -4m = 12 + 52 Combine like terms: 12 + 52 = 64 -4m = 64 Divide each side by '-4'. m = -16 Simplifying m = -16
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