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Simplifying (3m + 13) + -1(4m + 6) = 0 Reorder the terms: (13 + 3m) + -1(4m + 6) = 0 Remove parenthesis around (13 + 3m) 13 + 3m + -1(4m + 6) = 0 Reorder the terms: 13 + 3m + -1(6 + 4m) = 0 13 + 3m + (6 * -1 + 4m * -1) = 0 13 + 3m + (-6 + -4m) = 0 Reorder the terms: 13 + -6 + 3m + -4m = 0 Combine like terms: 13 + -6 = 7 7 + 3m + -4m = 0 Combine like terms: 3m + -4m = -1m 7 + -1m = 0 Solving 7 + -1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7
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