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Simplifying 6(2m + -7) = 5m Reorder the terms: 6(-7 + 2m) = 5m (-7 * 6 + 2m * 6) = 5m (-42 + 12m) = 5m Solving -42 + 12m = 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -42 + 12m + -5m = 5m + -5m Combine like terms: 12m + -5m = 7m -42 + 7m = 5m + -5m Combine like terms: 5m + -5m = 0 -42 + 7m = 0 Add '42' to each side of the equation. -42 + 42 + 7m = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 7m = 0 + 42 7m = 0 + 42 Combine like terms: 0 + 42 = 42 7m = 42 Divide each side by '7'. m = 6 Simplifying m = 6
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