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Simplifying 18 + 2m = 8(2m + 4) Reorder the terms: 18 + 2m = 8(4 + 2m) 18 + 2m = (4 * 8 + 2m * 8) 18 + 2m = (32 + 16m) Solving 18 + 2m = 32 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 18 + 2m + -16m = 32 + 16m + -16m Combine like terms: 2m + -16m = -14m 18 + -14m = 32 + 16m + -16m Combine like terms: 16m + -16m = 0 18 + -14m = 32 + 0 18 + -14m = 32 Add '-18' to each side of the equation. 18 + -18 + -14m = 32 + -18 Combine like terms: 18 + -18 = 0 0 + -14m = 32 + -18 -14m = 32 + -18 Combine like terms: 32 + -18 = 14 -14m = 14 Divide each side by '-14'. m = -1 Simplifying m = -1
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