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Simplifying 12 + -1m + 5 = m + 7 Reorder the terms: 12 + 5 + -1m = m + 7 Combine like terms: 12 + 5 = 17 17 + -1m = m + 7 Reorder the terms: 17 + -1m = 7 + m Solving 17 + -1m = 7 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 17 + -1m + -1m = 7 + m + -1m Combine like terms: -1m + -1m = -2m 17 + -2m = 7 + m + -1m Combine like terms: m + -1m = 0 17 + -2m = 7 + 0 17 + -2m = 7 Add '-17' to each side of the equation. 17 + -17 + -2m = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -2m = 7 + -17 -2m = 7 + -17 Combine like terms: 7 + -17 = -10 -2m = -10 Divide each side by '-2'. m = 5 Simplifying m = 5
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