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Simplifying 14 + -2m = 6(6m + 8) + 4 Reorder the terms: 14 + -2m = 6(8 + 6m) + 4 14 + -2m = (8 * 6 + 6m * 6) + 4 14 + -2m = (48 + 36m) + 4 Reorder the terms: 14 + -2m = 48 + 4 + 36m Combine like terms: 48 + 4 = 52 14 + -2m = 52 + 36m Solving 14 + -2m = 52 + 36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36m' to each side of the equation. 14 + -2m + -36m = 52 + 36m + -36m Combine like terms: -2m + -36m = -38m 14 + -38m = 52 + 36m + -36m Combine like terms: 36m + -36m = 0 14 + -38m = 52 + 0 14 + -38m = 52 Add '-14' to each side of the equation. 14 + -14 + -38m = 52 + -14 Combine like terms: 14 + -14 = 0 0 + -38m = 52 + -14 -38m = 52 + -14 Combine like terms: 52 + -14 = 38 -38m = 38 Divide each side by '-38'. m = -1 Simplifying m = -1
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