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Simplifying -7(6 + -5m) = 18 + 5m (6 * -7 + -5m * -7) = 18 + 5m (-42 + 35m) = 18 + 5m Solving -42 + 35m = 18 + 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 + 35m + -5m = 18 + 5m + -5m Combine like terms: 35m + -5m = 30m -42 + 30m = 18 + 5m + -5m Combine like terms: 5m + -5m = 0 -42 + 30m = 18 + 0 -42 + 30m = 18 Add '42' to each side of the equation. -42 + 42 + 30m = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 30m = 18 + 42 30m = 18 + 42 Combine like terms: 18 + 42 = 60 30m = 60 Divide each side by '30'. m = 2 Simplifying m = 2
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