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Simplifying (7 + -1m) + -1(m + -7) = 0 Remove parenthesis around (7 + -1m) 7 + -1m + -1(m + -7) = 0 Reorder the terms: 7 + -1m + -1(-7 + m) = 0 7 + -1m + (-7 * -1 + m * -1) = 0 7 + -1m + (7 + -1m) = 0 Reorder the terms: 7 + 7 + -1m + -1m = 0 Combine like terms: 7 + 7 = 14 14 + -1m + -1m = 0 Combine like terms: -1m + -1m = -2m 14 + -2m = 0 Solving 14 + -2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2m = 0 + -14 -2m = 0 + -14 Combine like terms: 0 + -14 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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