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Simplifying m + 1 + -3m + 10 = m + 7 + -2 Reorder the terms: 1 + 10 + m + -3m = m + 7 + -2 Combine like terms: 1 + 10 = 11 11 + m + -3m = m + 7 + -2 Combine like terms: m + -3m = -2m 11 + -2m = m + 7 + -2 Reorder the terms: 11 + -2m = 7 + -2 + m Combine like terms: 7 + -2 = 5 11 + -2m = 5 + m Solving 11 + -2m = 5 + 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. 11 + -2m + -1m = 5 + m + -1m Combine like terms: -2m + -1m = -3m 11 + -3m = 5 + m + -1m Combine like terms: m + -1m = 0 11 + -3m = 5 + 0 11 + -3m = 5 Add '-11' to each side of the equation. 11 + -11 + -3m = 5 + -11 Combine like terms: 11 + -11 = 0 0 + -3m = 5 + -11 -3m = 5 + -11 Combine like terms: 5 + -11 = -6 -3m = -6 Divide each side by '-3'. m = 2 Simplifying m = 2
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