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Simplifying -4(m + 1) = -2(m + 7) Reorder the terms: -4(1 + m) = -2(m + 7) (1 * -4 + m * -4) = -2(m + 7) (-4 + -4m) = -2(m + 7) Reorder the terms: -4 + -4m = -2(7 + m) -4 + -4m = (7 * -2 + m * -2) -4 + -4m = (-14 + -2m) Solving -4 + -4m = -14 + -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. -4 + -4m + 2m = -14 + -2m + 2m Combine like terms: -4m + 2m = -2m -4 + -2m = -14 + -2m + 2m Combine like terms: -2m + 2m = 0 -4 + -2m = -14 + 0 -4 + -2m = -14 Add '4' to each side of the equation. -4 + 4 + -2m = -14 + 4 Combine like terms: -4 + 4 = 0 0 + -2m = -14 + 4 -2m = -14 + 4 Combine like terms: -14 + 4 = -10 -2m = -10 Divide each side by '-2'. m = 5 Simplifying m = 5
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