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Simplifying -6(2m + -7) = -3 + 3m Reorder the terms: -6(-7 + 2m) = -3 + 3m (-7 * -6 + 2m * -6) = -3 + 3m (42 + -12m) = -3 + 3m Solving 42 + -12m = -3 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 42 + -12m + -3m = -3 + 3m + -3m Combine like terms: -12m + -3m = -15m 42 + -15m = -3 + 3m + -3m Combine like terms: 3m + -3m = 0 42 + -15m = -3 + 0 42 + -15m = -3 Add '-42' to each side of the equation. 42 + -42 + -15m = -3 + -42 Combine like terms: 42 + -42 = 0 0 + -15m = -3 + -42 -15m = -3 + -42 Combine like terms: -3 + -42 = -45 -15m = -45 Divide each side by '-15'. m = 3 Simplifying m = 3
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