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Simplifying 2(3m + -5) = 4 + -3(m + 6) Reorder the terms: 2(-5 + 3m) = 4 + -3(m + 6) (-5 * 2 + 3m * 2) = 4 + -3(m + 6) (-10 + 6m) = 4 + -3(m + 6) Reorder the terms: -10 + 6m = 4 + -3(6 + m) -10 + 6m = 4 + (6 * -3 + m * -3) -10 + 6m = 4 + (-18 + -3m) Combine like terms: 4 + -18 = -14 -10 + 6m = -14 + -3m Solving -10 + 6m = -14 + -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. -10 + 6m + 3m = -14 + -3m + 3m Combine like terms: 6m + 3m = 9m -10 + 9m = -14 + -3m + 3m Combine like terms: -3m + 3m = 0 -10 + 9m = -14 + 0 -10 + 9m = -14 Add '10' to each side of the equation. -10 + 10 + 9m = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 9m = -14 + 10 9m = -14 + 10 Combine like terms: -14 + 10 = -4 9m = -4 Divide each side by '9'. m = -0.4444444444 Simplifying m = -0.4444444444
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