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Simplifying 3(m + -1) + -10 = 8 + -2(m + 3) Reorder the terms: 3(-1 + m) + -10 = 8 + -2(m + 3) (-1 * 3 + m * 3) + -10 = 8 + -2(m + 3) (-3 + 3m) + -10 = 8 + -2(m + 3) Reorder the terms: -3 + -10 + 3m = 8 + -2(m + 3) Combine like terms: -3 + -10 = -13 -13 + 3m = 8 + -2(m + 3) Reorder the terms: -13 + 3m = 8 + -2(3 + m) -13 + 3m = 8 + (3 * -2 + m * -2) -13 + 3m = 8 + (-6 + -2m) Combine like terms: 8 + -6 = 2 -13 + 3m = 2 + -2m Solving -13 + 3m = 2 + -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. -13 + 3m + 2m = 2 + -2m + 2m Combine like terms: 3m + 2m = 5m -13 + 5m = 2 + -2m + 2m Combine like terms: -2m + 2m = 0 -13 + 5m = 2 + 0 -13 + 5m = 2 Add '13' to each side of the equation. -13 + 13 + 5m = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 5m = 2 + 13 5m = 2 + 13 Combine like terms: 2 + 13 = 15 5m = 15 Divide each side by '5'. m = 3 Simplifying m = 3
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