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Simplifying 6m + -5m + -13 = 3m + 5 Reorder the terms: -13 + 6m + -5m = 3m + 5 Combine like terms: 6m + -5m = 1m -13 + 1m = 3m + 5 Reorder the terms: -13 + 1m = 5 + 3m Solving -13 + 1m = 5 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -13 + 1m + -3m = 5 + 3m + -3m Combine like terms: 1m + -3m = -2m -13 + -2m = 5 + 3m + -3m Combine like terms: 3m + -3m = 0 -13 + -2m = 5 + 0 -13 + -2m = 5 Add '13' to each side of the equation. -13 + 13 + -2m = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -2m = 5 + 13 -2m = 5 + 13 Combine like terms: 5 + 13 = 18 -2m = 18 Divide each side by '-2'. m = -9 Simplifying m = -9
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