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Simplifying 4(2m + 6) + 3(3m + 7) = 0 Reorder the terms: 4(6 + 2m) + 3(3m + 7) = 0 (6 * 4 + 2m * 4) + 3(3m + 7) = 0 (24 + 8m) + 3(3m + 7) = 0 Reorder the terms: 24 + 8m + 3(7 + 3m) = 0 24 + 8m + (7 * 3 + 3m * 3) = 0 24 + 8m + (21 + 9m) = 0 Reorder the terms: 24 + 21 + 8m + 9m = 0 Combine like terms: 24 + 21 = 45 45 + 8m + 9m = 0 Combine like terms: 8m + 9m = 17m 45 + 17m = 0 Solving 45 + 17m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 17m = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 17m = 0 + -45 17m = 0 + -45 Combine like terms: 0 + -45 = -45 17m = -45 Divide each side by '17'. m = -2.647058824 Simplifying m = -2.647058824
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