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Simplifying 5(m + -1) = 2(m + -4) + -6 Reorder the terms: 5(-1 + m) = 2(m + -4) + -6 (-1 * 5 + m * 5) = 2(m + -4) + -6 (-5 + 5m) = 2(m + -4) + -6 Reorder the terms: -5 + 5m = 2(-4 + m) + -6 -5 + 5m = (-4 * 2 + m * 2) + -6 -5 + 5m = (-8 + 2m) + -6 Reorder the terms: -5 + 5m = -8 + -6 + 2m Combine like terms: -8 + -6 = -14 -5 + 5m = -14 + 2m Solving -5 + 5m = -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. -5 + 5m + -2m = -14 + 2m + -2m Combine like terms: 5m + -2m = 3m -5 + 3m = -14 + 2m + -2m Combine like terms: 2m + -2m = 0 -5 + 3m = -14 + 0 -5 + 3m = -14 Add '5' to each side of the equation. -5 + 5 + 3m = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 3m = -14 + 5 3m = -14 + 5 Combine like terms: -14 + 5 = -9 3m = -9 Divide each side by '3'. m = -3 Simplifying m = -3
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