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Simplifying 3(2m + 33) = 15(m + -3) Reorder the terms: 3(33 + 2m) = 15(m + -3) (33 * 3 + 2m * 3) = 15(m + -3) (99 + 6m) = 15(m + -3) Reorder the terms: 99 + 6m = 15(-3 + m) 99 + 6m = (-3 * 15 + m * 15) 99 + 6m = (-45 + 15m) Solving 99 + 6m = -45 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 99 + 6m + -15m = -45 + 15m + -15m Combine like terms: 6m + -15m = -9m 99 + -9m = -45 + 15m + -15m Combine like terms: 15m + -15m = 0 99 + -9m = -45 + 0 99 + -9m = -45 Add '-99' to each side of the equation. 99 + -99 + -9m = -45 + -99 Combine like terms: 99 + -99 = 0 0 + -9m = -45 + -99 -9m = -45 + -99 Combine like terms: -45 + -99 = -144 -9m = -144 Divide each side by '-9'. m = 16 Simplifying m = 16
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