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Simplifying 5(6 + m) = -3m + 4(2M + -5) (6 * 5 + m * 5) = -3m + 4(2M + -5) (30 + 5m) = -3m + 4(2M + -5) Reorder the terms: 30 + 5m = -3m + 4(-5 + 2M) 30 + 5m = -3m + (-5 * 4 + 2M * 4) 30 + 5m = -3m + (-20 + 8M) Reorder the terms: 30 + 5m = -20 + 8M + -3m Solving 30 + 5m = -20 + 8M + -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. 30 + 5m + 3m = -20 + 8M + -3m + 3m Combine like terms: 5m + 3m = 8m 30 + 8m = -20 + 8M + -3m + 3m Combine like terms: -3m + 3m = 0 30 + 8m = -20 + 8M + 0 30 + 8m = -20 + 8M Add '-30' to each side of the equation. 30 + -30 + 8m = -20 + -30 + 8M Combine like terms: 30 + -30 = 0 0 + 8m = -20 + -30 + 8M 8m = -20 + -30 + 8M Combine like terms: -20 + -30 = -50 8m = -50 + 8M Divide each side by '8'. m = -6.25 + M Simplifying m = -6.25 + M
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