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Simplifying 3m + 13 = 5m + -3 Reorder the terms: 13 + 3m = 5m + -3 Reorder the terms: 13 + 3m = -3 + 5m Solving 13 + 3m = -3 + 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. 13 + 3m + -5m = -3 + 5m + -5m Combine like terms: 3m + -5m = -2m 13 + -2m = -3 + 5m + -5m Combine like terms: 5m + -5m = 0 13 + -2m = -3 + 0 13 + -2m = -3 Add '-13' to each side of the equation. 13 + -13 + -2m = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -2m = -3 + -13 -2m = -3 + -13 Combine like terms: -3 + -13 = -16 -2m = -16 Divide each side by '-2'. m = 8 Simplifying m = 8
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