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Simplifying 4(3m + -1) = 7(m + 3) Reorder the terms: 4(-1 + 3m) = 7(m + 3) (-1 * 4 + 3m * 4) = 7(m + 3) (-4 + 12m) = 7(m + 3) Reorder the terms: -4 + 12m = 7(3 + m) -4 + 12m = (3 * 7 + m * 7) -4 + 12m = (21 + 7m) Solving -4 + 12m = 21 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -4 + 12m + -7m = 21 + 7m + -7m Combine like terms: 12m + -7m = 5m -4 + 5m = 21 + 7m + -7m Combine like terms: 7m + -7m = 0 -4 + 5m = 21 + 0 -4 + 5m = 21 Add '4' to each side of the equation. -4 + 4 + 5m = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5m = 21 + 4 5m = 21 + 4 Combine like terms: 21 + 4 = 25 5m = 25 Divide each side by '5'. m = 5 Simplifying m = 5
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