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Simplifying 5(3m + -2 + 4m) = 5m + 62 + -6m Reorder the terms: 5(-2 + 3m + 4m) = 5m + 62 + -6m Combine like terms: 3m + 4m = 7m 5(-2 + 7m) = 5m + 62 + -6m (-2 * 5 + 7m * 5) = 5m + 62 + -6m (-10 + 35m) = 5m + 62 + -6m Reorder the terms: -10 + 35m = 62 + 5m + -6m Combine like terms: 5m + -6m = -1m -10 + 35m = 62 + -1m Solving -10 + 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. -10 + 35m + m = 62 + -1m + m Combine like terms: 35m + m = 36m -10 + 36m = 62 + -1m + m Combine like terms: -1m + m = 0 -10 + 36m = 62 + 0 -10 + 36m = 62 Add '10' to each side of the equation. -10 + 10 + 36m = 62 + 10 Combine like terms: -10 + 10 = 0 0 + 36m = 62 + 10 36m = 62 + 10 Combine like terms: 62 + 10 = 72 36m = 72 Divide each side by '36'. m = 2 Simplifying m = 2
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