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Simplifying 7(6 + -3m) + -5(m + 2) = 21 (6 * 7 + -3m * 7) + -5(m + 2) = 21 (42 + -21m) + -5(m + 2) = 21 Reorder the terms: 42 + -21m + -5(2 + m) = 21 42 + -21m + (2 * -5 + m * -5) = 21 42 + -21m + (-10 + -5m) = 21 Reorder the terms: 42 + -10 + -21m + -5m = 21 Combine like terms: 42 + -10 = 32 32 + -21m + -5m = 21 Combine like terms: -21m + -5m = -26m 32 + -26m = 21 Solving 32 + -26m = 21 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -26m = 21 + -32 Combine like terms: 32 + -32 = 0 0 + -26m = 21 + -32 -26m = 21 + -32 Combine like terms: 21 + -32 = -11 -26m = -11 Divide each side by '-26'. m = 0.4230769231 Simplifying m = 0.4230769231
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