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Simplifying 5m + -2 = 8m + -12 Reorder the terms: -2 + 5m = 8m + -12 Reorder the terms: -2 + 5m = -12 + 8m Solving -2 + 5m = -12 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -2 + 5m + -8m = -12 + 8m + -8m Combine like terms: 5m + -8m = -3m -2 + -3m = -12 + 8m + -8m Combine like terms: 8m + -8m = 0 -2 + -3m = -12 + 0 -2 + -3m = -12 Add '2' to each side of the equation. -2 + 2 + -3m = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -3m = -12 + 2 -3m = -12 + 2 Combine like terms: -12 + 2 = -10 -3m = -10 Divide each side by '-3'. m = 3.333333333 Simplifying m = 3.333333333
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