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Simplifying 5(3m + 1) + -8(2m + 3) = 0 Reorder the terms: 5(1 + 3m) + -8(2m + 3) = 0 (1 * 5 + 3m * 5) + -8(2m + 3) = 0 (5 + 15m) + -8(2m + 3) = 0 Reorder the terms: 5 + 15m + -8(3 + 2m) = 0 5 + 15m + (3 * -8 + 2m * -8) = 0 5 + 15m + (-24 + -16m) = 0 Reorder the terms: 5 + -24 + 15m + -16m = 0 Combine like terms: 5 + -24 = -19 -19 + 15m + -16m = 0 Combine like terms: 15m + -16m = -1m -19 + -1m = 0 Solving -19 + -1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1m = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1m = 0 + 19 -1m = 0 + 19 Combine like terms: 0 + 19 = 19 -1m = 19 Divide each side by '-1'. m = -19 Simplifying m = -19
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