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Simplifying 3(5m + -1) + -2 = 4(3m + -2) + 6 Reorder the terms: 3(-1 + 5m) + -2 = 4(3m + -2) + 6 (-1 * 3 + 5m * 3) + -2 = 4(3m + -2) + 6 (-3 + 15m) + -2 = 4(3m + -2) + 6 Reorder the terms: -3 + -2 + 15m = 4(3m + -2) + 6 Combine like terms: -3 + -2 = -5 -5 + 15m = 4(3m + -2) + 6 Reorder the terms: -5 + 15m = 4(-2 + 3m) + 6 -5 + 15m = (-2 * 4 + 3m * 4) + 6 -5 + 15m = (-8 + 12m) + 6 Reorder the terms: -5 + 15m = -8 + 6 + 12m Combine like terms: -8 + 6 = -2 -5 + 15m = -2 + 12m Solving -5 + 15m = -2 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -5 + 15m + -12m = -2 + 12m + -12m Combine like terms: 15m + -12m = 3m -5 + 3m = -2 + 12m + -12m Combine like terms: 12m + -12m = 0 -5 + 3m = -2 + 0 -5 + 3m = -2 Add '5' to each side of the equation. -5 + 5 + 3m = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 3m = -2 + 5 3m = -2 + 5 Combine like terms: -2 + 5 = 3 3m = 3 Divide each side by '3'. m = 1 Simplifying m = 1
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