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Simplifying m + 5 = -7 + 2 + 3m + -2 Reorder the terms: 5 + m = -7 + 2 + 3m + -2 Reorder the terms: 5 + m = -7 + 2 + -2 + 3m Combine like terms: -7 + 2 = -5 5 + m = -5 + -2 + 3m Combine like terms: -5 + -2 = -7 5 + m = -7 + 3m Solving 5 + m = -7 + 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. 5 + m + -3m = -7 + 3m + -3m Combine like terms: m + -3m = -2m 5 + -2m = -7 + 3m + -3m Combine like terms: 3m + -3m = 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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