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Simplifying 5(3m + -3 + 4m) = 5m + 62 + -6m Reorder the terms: 5(-3 + 3m + 4m) = 5m + 62 + -6m Combine like terms: 3m + 4m = 7m 5(-3 + 7m) = 5m + 62 + -6m (-3 * 5 + 7m * 5) = 5m + 62 + -6m (-15 + 35m) = 5m + 62 + -6m Reorder the terms: -15 + 35m = 62 + 5m + -6m Combine like terms: 5m + -6m = -1m -15 + 35m = 62 + -1m Solving -15 + 35m = 62 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -15 + 35m + m = 62 + -1m + m Combine like terms: 35m + m = 36m -15 + 36m = 62 + -1m + m Combine like terms: -1m + m = 0 -15 + 36m = 62 + 0 -15 + 36m = 62 Add '15' to each side of the equation. -15 + 15 + 36m = 62 + 15 Combine like terms: -15 + 15 = 0 0 + 36m = 62 + 15 36m = 62 + 15 Combine like terms: 62 + 15 = 77 36m = 77 Divide each side by '36'. m = 2.138888889 Simplifying m = 2.138888889
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