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Simplifying 3(8m + 4) = 8(6m + -1) + -5 Reorder the terms: 3(4 + 8m) = 8(6m + -1) + -5 (4 * 3 + 8m * 3) = 8(6m + -1) + -5 (12 + 24m) = 8(6m + -1) + -5 Reorder the terms: 12 + 24m = 8(-1 + 6m) + -5 12 + 24m = (-1 * 8 + 6m * 8) + -5 12 + 24m = (-8 + 48m) + -5 Reorder the terms: 12 + 24m = -8 + -5 + 48m Combine like terms: -8 + -5 = -13 12 + 24m = -13 + 48m Solving 12 + 24m = -13 + 48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48m' to each side of the equation. 12 + 24m + -48m = -13 + 48m + -48m Combine like terms: 24m + -48m = -24m 12 + -24m = -13 + 48m + -48m Combine like terms: 48m + -48m = 0 12 + -24m = -13 + 0 12 + -24m = -13 Add '-12' to each side of the equation. 12 + -12 + -24m = -13 + -12 Combine like terms: 12 + -12 = 0 0 + -24m = -13 + -12 -24m = -13 + -12 Combine like terms: -13 + -12 = -25 -24m = -25 Divide each side by '-24'. m = 1.041666667 Simplifying m = 1.041666667
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