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Simplifying 3m + -1 = 5(m + -1) + -2 Reorder the terms: -1 + 3m = 5(m + -1) + -2 Reorder the terms: -1 + 3m = 5(-1 + m) + -2 -1 + 3m = (-1 * 5 + m * 5) + -2 -1 + 3m = (-5 + 5m) + -2 Reorder the terms: -1 + 3m = -5 + -2 + 5m Combine like terms: -5 + -2 = -7 -1 + 3m = -7 + 5m Solving -1 + 3m = -7 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -1 + 3m + -5m = -7 + 5m + -5m Combine like terms: 3m + -5m = -2m -1 + -2m = -7 + 5m + -5m Combine like terms: 5m + -5m = 0 -1 + -2m = -7 + 0 -1 + -2m = -7 Add '1' to each side of the equation. -1 + 1 + -2m = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = -7 + 1 -2m = -7 + 1 Combine like terms: -7 + 1 = -6 -2m = -6 Divide each side by '-2'. m = 3 Simplifying m = 3
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