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Simplifying 5(m + -2) + 1 = -12 + 6m Reorder the terms: 5(-2 + m) + 1 = -12 + 6m (-2 * 5 + m * 5) + 1 = -12 + 6m (-10 + 5m) + 1 = -12 + 6m Reorder the terms: -10 + 1 + 5m = -12 + 6m Combine like terms: -10 + 1 = -9 -9 + 5m = -12 + 6m Solving -9 + 5m = -12 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -9 + 5m + -6m = -12 + 6m + -6m Combine like terms: 5m + -6m = -1m -9 + -1m = -12 + 6m + -6m Combine like terms: 6m + -6m = 0 -9 + -1m = -12 + 0 -9 + -1m = -12 Add '9' to each side of the equation. -9 + 9 + -1m = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = -12 + 9 -1m = -12 + 9 Combine like terms: -12 + 9 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3
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