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Simplifying 10m + -6 + -5(2m + -3) = 3(m + -1) Reorder the terms: 10m + -6 + -5(-3 + 2m) = 3(m + -1) 10m + -6 + (-3 * -5 + 2m * -5) = 3(m + -1) 10m + -6 + (15 + -10m) = 3(m + -1) Reorder the terms: -6 + 15 + 10m + -10m = 3(m + -1) Combine like terms: -6 + 15 = 9 9 + 10m + -10m = 3(m + -1) Combine like terms: 10m + -10m = 0 9 + 0 = 3(m + -1) 9 = 3(m + -1) Reorder the terms: 9 = 3(-1 + m) 9 = (-1 * 3 + m * 3) 9 = (-3 + 3m) Solving 9 = -3 + 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. 9 + -3m = -3 + 3m + -3m Combine like terms: 3m + -3m = 0 9 + -3m = -3 + 0 9 + -3m = -3 Add '-9' to each side of the equation. 9 + -9 + -3m = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -3m = -3 + -9 -3m = -3 + -9 Combine like terms: -3 + -9 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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