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Simplifying 3(a + m) + 2(b + n) = 3a + 2b (a * 3 + m * 3) + 2(b + n) = 3a + 2b (3a + 3m) + 2(b + n) = 3a + 2b 3a + 3m + (b * 2 + n * 2) = 3a + 2b 3a + 3m + (2b + 2n) = 3a + 2b Reorder the terms: 3a + 2b + 3m + 2n = 3a + 2b Add '-3a' to each side of the equation. 3a + 2b + 3m + -3a + 2n = 3a + -3a + 2b Reorder the terms: 3a + -3a + 2b + 3m + 2n = 3a + -3a + 2b Combine like terms: 3a + -3a = 0 0 + 2b + 3m + 2n = 3a + -3a + 2b 2b + 3m + 2n = 3a + -3a + 2b Combine like terms: 3a + -3a = 0 2b + 3m + 2n = 0 + 2b 2b + 3m + 2n = 2b Add '-2b' to each side of the equation. 2b + 3m + -2b + 2n = 2b + -2b Reorder the terms: 2b + -2b + 3m + 2n = 2b + -2b Combine like terms: 2b + -2b = 0 0 + 3m + 2n = 2b + -2b 3m + 2n = 2b + -2b Combine like terms: 2b + -2b = 0 3m + 2n = 0 Solving 3m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 3m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 3m + 0 = 0 + -2n 3m = 0 + -2n Remove the zero: 3m = -2n Divide each side by '3'. m = -0.6666666667n Simplifying m = -0.6666666667n
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