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Simplifying 6(m + -2) = 5(-1m + 5) + 2(3 + -2m) + 2 Reorder the terms: 6(-2 + m) = 5(-1m + 5) + 2(3 + -2m) + 2 (-2 * 6 + m * 6) = 5(-1m + 5) + 2(3 + -2m) + 2 (-12 + 6m) = 5(-1m + 5) + 2(3 + -2m) + 2 Reorder the terms: -12 + 6m = 5(5 + -1m) + 2(3 + -2m) + 2 -12 + 6m = (5 * 5 + -1m * 5) + 2(3 + -2m) + 2 -12 + 6m = (25 + -5m) + 2(3 + -2m) + 2 -12 + 6m = 25 + -5m + (3 * 2 + -2m * 2) + 2 -12 + 6m = 25 + -5m + (6 + -4m) + 2 Reorder the terms: -12 + 6m = 25 + 6 + 2 + -5m + -4m Combine like terms: 25 + 6 = 31 -12 + 6m = 31 + 2 + -5m + -4m Combine like terms: 31 + 2 = 33 -12 + 6m = 33 + -5m + -4m Combine like terms: -5m + -4m = -9m -12 + 6m = 33 + -9m Solving -12 + 6m = 33 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -12 + 6m + 9m = 33 + -9m + 9m Combine like terms: 6m + 9m = 15m -12 + 15m = 33 + -9m + 9m Combine like terms: -9m + 9m = 0 -12 + 15m = 33 + 0 -12 + 15m = 33 Add '12' to each side of the equation. -12 + 12 + 15m = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 15m = 33 + 12 15m = 33 + 12 Combine like terms: 33 + 12 = 45 15m = 45 Divide each side by '15'. m = 3 Simplifying m = 3
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