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Simplifying 5 + 3m = -14 + 4 + 5m + 3 Reorder the terms: 5 + 3m = -14 + 4 + 3 + 5m Combine like terms: -14 + 4 = -10 5 + 3m = -10 + 3 + 5m Combine like terms: -10 + 3 = -7 5 + 3m = -7 + 5m Solving 5 + 3m = -7 + 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 = -7 + 5m + -5m Combine like terms: 3m + -5m = -2m 5 + -2m = -7 + 5m + -5m Combine like terms: 5m + -5m = 0 5 + -2m = -7 + 0 5 + -2m = -7 Add '-5' to each side of the equation. 5 + -5 + -2m = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = -7 + -5 -2m = -7 + -5 Combine like terms: -7 + -5 = -12 -2m = -12 Divide each side by '-2'. m = 6 Simplifying m = 6
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