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Simplifying 3m + 20 = m + 8(2m + -1) Reorder the terms: 20 + 3m = m + 8(2m + -1) Reorder the terms: 20 + 3m = m + 8(-1 + 2m) 20 + 3m = m + (-1 * 8 + 2m * 8) 20 + 3m = m + (-8 + 16m) Reorder the terms: 20 + 3m = -8 + m + 16m Combine like terms: m + 16m = 17m 20 + 3m = -8 + 17m Solving 20 + 3m = -8 + 17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17m' to each side of the equation. 20 + 3m + -17m = -8 + 17m + -17m Combine like terms: 3m + -17m = -14m 20 + -14m = -8 + 17m + -17m Combine like terms: 17m + -17m = 0 20 + -14m = -8 + 0 20 + -14m = -8 Add '-20' to each side of the equation. 20 + -20 + -14m = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -14m = -8 + -20 -14m = -8 + -20 Combine like terms: -8 + -20 = -28 -14m = -28 Divide each side by '-14'. m = 2 Simplifying m = 2
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