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Simplifying 4(m + 3) + 2(9m + -3) = 3(m + -2) Reorder the terms: 4(3 + m) + 2(9m + -3) = 3(m + -2) (3 * 4 + m * 4) + 2(9m + -3) = 3(m + -2) (12 + 4m) + 2(9m + -3) = 3(m + -2) Reorder the terms: 12 + 4m + 2(-3 + 9m) = 3(m + -2) 12 + 4m + (-3 * 2 + 9m * 2) = 3(m + -2) 12 + 4m + (-6 + 18m) = 3(m + -2) Reorder the terms: 12 + -6 + 4m + 18m = 3(m + -2) Combine like terms: 12 + -6 = 6 6 + 4m + 18m = 3(m + -2) Combine like terms: 4m + 18m = 22m 6 + 22m = 3(m + -2) Reorder the terms: 6 + 22m = 3(-2 + m) 6 + 22m = (-2 * 3 + m * 3) 6 + 22m = (-6 + 3m) Solving 6 + 22m = -6 + 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. 6 + 22m + -3m = -6 + 3m + -3m Combine like terms: 22m + -3m = 19m 6 + 19m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + 19m = -6 + 0 6 + 19m = -6 Add '-6' to each side of the equation. 6 + -6 + 19m = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 19m = -6 + -6 19m = -6 + -6 Combine like terms: -6 + -6 = -12 19m = -12 Divide each side by '19'. m = -0.6315789474 Simplifying m = -0.6315789474
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