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