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Simplifying (3m + 5) + -1(6m + 7) + (4m + 3) = 0 Reorder the terms: (5 + 3m) + -1(6m + 7) + (4m + 3) = 0 Remove parenthesis around (5 + 3m) 5 + 3m + -1(6m + 7) + (4m + 3) = 0 Reorder the terms: 5 + 3m + -1(7 + 6m) + (4m + 3) = 0 5 + 3m + (7 * -1 + 6m * -1) + (4m + 3) = 0 5 + 3m + (-7 + -6m) + (4m + 3) = 0 Reorder the terms: 5 + 3m + -7 + -6m + (3 + 4m) = 0 Remove parenthesis around (3 + 4m) 5 + 3m + -7 + -6m + 3 + 4m = 0 Reorder the terms: 5 + -7 + 3 + 3m + -6m + 4m = 0 Combine like terms: 5 + -7 = -2 -2 + 3 + 3m + -6m + 4m = 0 Combine like terms: -2 + 3 = 1 1 + 3m + -6m + 4m = 0 Combine like terms: 3m + -6m = -3m 1 + -3m + 4m = 0 Combine like terms: -3m + 4m = 1m 1 + 1m = 0 Solving 1 + 1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1m = 0 + -1 1m = 0 + -1 Combine like terms: 0 + -1 = -1 1m = -1 Divide each side by '1'. m = -1 Simplifying m = -1
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