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Simplifying 5(3m + -9 + 6m) = 3m + 29 + -7m Reorder the terms: 5(-9 + 3m + 6m) = 3m + 29 + -7m Combine like terms: 3m + 6m = 9m 5(-9 + 9m) = 3m + 29 + -7m (-9 * 5 + 9m * 5) = 3m + 29 + -7m (-45 + 45m) = 3m + 29 + -7m Reorder the terms: -45 + 45m = 29 + 3m + -7m Combine like terms: 3m + -7m = -4m -45 + 45m = 29 + -4m Solving -45 + 45m = 29 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -45 + 45m + 4m = 29 + -4m + 4m Combine like terms: 45m + 4m = 49m -45 + 49m = 29 + -4m + 4m Combine like terms: -4m + 4m = 0 -45 + 49m = 29 + 0 -45 + 49m = 29 Add '45' to each side of the equation. -45 + 45 + 49m = 29 + 45 Combine like terms: -45 + 45 = 0 0 + 49m = 29 + 45 49m = 29 + 45 Combine like terms: 29 + 45 = 74 49m = 74 Divide each side by '49'. m = 1.510204082 Simplifying m = 1.510204082
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