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Simplifying 3(3m + 2) + -4(2m + -6) + -19m = 0 Reorder the terms: 3(2 + 3m) + -4(2m + -6) + -19m = 0 (2 * 3 + 3m * 3) + -4(2m + -6) + -19m = 0 (6 + 9m) + -4(2m + -6) + -19m = 0 Reorder the terms: 6 + 9m + -4(-6 + 2m) + -19m = 0 6 + 9m + (-6 * -4 + 2m * -4) + -19m = 0 6 + 9m + (24 + -8m) + -19m = 0 Reorder the terms: 6 + 24 + 9m + -8m + -19m = 0 Combine like terms: 6 + 24 = 30 30 + 9m + -8m + -19m = 0 Combine like terms: 9m + -8m = 1m 30 + 1m + -19m = 0 Combine like terms: 1m + -19m = -18m 30 + -18m = 0 Solving 30 + -18m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -18m = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -18m = 0 + -30 -18m = 0 + -30 Combine like terms: 0 + -30 = -30 -18m = -30 Divide each side by '-18'. m = 1.666666667 Simplifying m = 1.666666667
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