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Simplifying 4 + -6m = (3m + 14) + -2(3m + 5) Reorder the terms: 4 + -6m = (14 + 3m) + -2(3m + 5) Remove parenthesis around (14 + 3m) 4 + -6m = 14 + 3m + -2(3m + 5) Reorder the terms: 4 + -6m = 14 + 3m + -2(5 + 3m) 4 + -6m = 14 + 3m + (5 * -2 + 3m * -2) 4 + -6m = 14 + 3m + (-10 + -6m) Reorder the terms: 4 + -6m = 14 + -10 + 3m + -6m Combine like terms: 14 + -10 = 4 4 + -6m = 4 + 3m + -6m Combine like terms: 3m + -6m = -3m 4 + -6m = 4 + -3m Add '-4' to each side of the equation. 4 + -4 + -6m = 4 + -4 + -3m Combine like terms: 4 + -4 = 0 0 + -6m = 4 + -4 + -3m -6m = 4 + -4 + -3m Combine like terms: 4 + -4 = 0 -6m = 0 + -3m -6m = -3m Solving -6m = -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. -6m + 3m = -3m + 3m Combine like terms: -6m + 3m = -3m -3m = -3m + 3m Combine like terms: -3m + 3m = 0 -3m = 0 Divide each side by '-3'. m = 0 Simplifying m = 0
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