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Simplifying 2(6m + 4) * 6 = 4(2m + -4) + -14 Reorder the terms: 2(4 + 6m) * 6 = 4(2m + -4) + -14 Reorder the terms for easier multiplication: 2 * 6(4 + 6m) = 4(2m + -4) + -14 Multiply 2 * 6 12(4 + 6m) = 4(2m + -4) + -14 (4 * 12 + 6m * 12) = 4(2m + -4) + -14 (48 + 72m) = 4(2m + -4) + -14 Reorder the terms: 48 + 72m = 4(-4 + 2m) + -14 48 + 72m = (-4 * 4 + 2m * 4) + -14 48 + 72m = (-16 + 8m) + -14 Reorder the terms: 48 + 72m = -16 + -14 + 8m Combine like terms: -16 + -14 = -30 48 + 72m = -30 + 8m Solving 48 + 72m = -30 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 48 + 72m + -8m = -30 + 8m + -8m Combine like terms: 72m + -8m = 64m 48 + 64m = -30 + 8m + -8m Combine like terms: 8m + -8m = 0 48 + 64m = -30 + 0 48 + 64m = -30 Add '-48' to each side of the equation. 48 + -48 + 64m = -30 + -48 Combine like terms: 48 + -48 = 0 0 + 64m = -30 + -48 64m = -30 + -48 Combine like terms: -30 + -48 = -78 64m = -78 Divide each side by '64'. m = -1.21875 Simplifying m = -1.21875
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