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Simplifying 12 + -6 + m + 1 = 2m + 5 Reorder the terms: 12 + -6 + 1 + m = 2m + 5 Combine like terms: 12 + -6 = 6 6 + 1 + m = 2m + 5 Combine like terms: 6 + 1 = 7 7 + m = 2m + 5 Reorder the terms: 7 + m = 5 + 2m Solving 7 + m = 5 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 7 + m + -2m = 5 + 2m + -2m Combine like terms: m + -2m = -1m 7 + -1m = 5 + 2m + -2m Combine like terms: 2m + -2m = 0 7 + -1m = 5 + 0 7 + -1m = 5 Add '-7' to each side of the equation. 7 + -7 + -1m = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 5 + -7 -1m = 5 + -7 Combine like terms: 5 + -7 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2
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