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Simplifying -6(m + 3) = -2(m + -5) Reorder the terms: -6(3 + m) = -2(m + -5) (3 * -6 + m * -6) = -2(m + -5) (-18 + -6m) = -2(m + -5) Reorder the terms: -18 + -6m = -2(-5 + m) -18 + -6m = (-5 * -2 + m * -2) -18 + -6m = (10 + -2m) Solving -18 + -6m = 10 + -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. -18 + -6m + 2m = 10 + -2m + 2m Combine like terms: -6m + 2m = -4m -18 + -4m = 10 + -2m + 2m Combine like terms: -2m + 2m = 0 -18 + -4m = 10 + 0 -18 + -4m = 10 Add '18' to each side of the equation. -18 + 18 + -4m = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4m = 10 + 18 -4m = 10 + 18 Combine like terms: 10 + 18 = 28 -4m = 28 Divide each side by '-4'. m = -7 Simplifying m = -7
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