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Simplifying 10m + 2(m + 3) = -3(-4m + 2) + 3m Reorder the terms: 10m + 2(3 + m) = -3(-4m + 2) + 3m 10m + (3 * 2 + m * 2) = -3(-4m + 2) + 3m 10m + (6 + 2m) = -3(-4m + 2) + 3m Reorder the terms: 6 + 10m + 2m = -3(-4m + 2) + 3m Combine like terms: 10m + 2m = 12m 6 + 12m = -3(-4m + 2) + 3m Reorder the terms: 6 + 12m = -3(2 + -4m) + 3m 6 + 12m = (2 * -3 + -4m * -3) + 3m 6 + 12m = (-6 + 12m) + 3m Combine like terms: 12m + 3m = 15m 6 + 12m = -6 + 15m Solving 6 + 12m = -6 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 6 + 12m + -15m = -6 + 15m + -15m Combine like terms: 12m + -15m = -3m 6 + -3m = -6 + 15m + -15m Combine like terms: 15m + -15m = 0 6 + -3m = -6 + 0 6 + -3m = -6 Add '-6' to each side of the equation. 6 + -6 + -3m = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -3m = -6 + -6 -3m = -6 + -6 Combine like terms: -6 + -6 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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