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Simplifying 6(x + 3m + 2) = 0 Reorder the terms: 6(2 + 3m + x) = 0 (2 * 6 + 3m * 6 + x * 6) = 0 (12 + 18m + 6x) = 0 Solving 12 + 18m + 6x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 18m + -12 + 6x = 0 + -12 Reorder the terms: 12 + -12 + 18m + 6x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 18m + 6x = 0 + -12 18m + 6x = 0 + -12 Combine like terms: 0 + -12 = -12 18m + 6x = -12 Add '-6x' to each side of the equation. 18m + 6x + -6x = -12 + -6x Combine like terms: 6x + -6x = 0 18m + 0 = -12 + -6x 18m = -12 + -6x Divide each side by '18'. m = -0.6666666667 + -0.3333333333x Simplifying m = -0.6666666667 + -0.3333333333x
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