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Simplifying -7(1 + -4m) = 12(2m + -3) (1 * -7 + -4m * -7) = 12(2m + -3) (-7 + 28m) = 12(2m + -3) Reorder the terms: -7 + 28m = 12(-3 + 2m) -7 + 28m = (-3 * 12 + 2m * 12) -7 + 28m = (-36 + 24m) Solving -7 + 28m = -36 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -7 + 28m + -24m = -36 + 24m + -24m Combine like terms: 28m + -24m = 4m -7 + 4m = -36 + 24m + -24m Combine like terms: 24m + -24m = 0 -7 + 4m = -36 + 0 -7 + 4m = -36 Add '7' to each side of the equation. -7 + 7 + 4m = -36 + 7 Combine like terms: -7 + 7 = 0 0 + 4m = -36 + 7 4m = -36 + 7 Combine like terms: -36 + 7 = -29 4m = -29 Divide each side by '4'. m = -7.25 Simplifying m = -7.25
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