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Simplifying 3m + 5 = 13 + 1 + 5m + 5 Reorder the terms: 5 + 3m = 13 + 1 + 5m + 5 Reorder the terms: 5 + 3m = 13 + 1 + 5 + 5m Combine like terms: 13 + 1 = 14 5 + 3m = 14 + 5 + 5m Combine like terms: 14 + 5 = 19 5 + 3m = 19 + 5m Solving 5 + 3m = 19 + 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. 5 + 3m + -5m = 19 + 5m + -5m Combine like terms: 3m + -5m = -2m 5 + -2m = 19 + 5m + -5m Combine like terms: 5m + -5m = 0 5 + -2m = 19 + 0 5 + -2m = 19 Add '-5' to each side of the equation. 5 + -5 + -2m = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 19 + -5 -2m = 19 + -5 Combine like terms: 19 + -5 = 14 -2m = 14 Divide each side by '-2'. m = -7 Simplifying m = -7
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