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Simplifying (7m + 9) + -1[-1m2 + -1(7m + -9)] = 0 Reorder the terms: (9 + 7m) + -1[-1m2 + -1(7m + -9)] = 0 Remove parenthesis around (9 + 7m) 9 + 7m + -1[-1m2 + -1(7m + -9)] = 0 Reorder the terms: 9 + 7m + -1[-1m2 + -1(-9 + 7m)] = 0 9 + 7m + -1[-1m2 + (-9 * -1 + 7m * -1)] = 0 9 + 7m + -1[-1m2 + (9 + -7m)] = 0 Reorder the terms: 9 + 7m + -1[9 + -7m + -1m2] = 0 9 + 7m + [9 * -1 + -7m * -1 + -1m2 * -1] = 0 9 + 7m + [-9 + 7m + 1m2] = 0 Reorder the terms: 9 + -9 + 7m + 7m + 1m2 = 0 Combine like terms: 9 + -9 = 0 0 + 7m + 7m + 1m2 = 0 7m + 7m + 1m2 = 0 Combine like terms: 7m + 7m = 14m 14m + 1m2 = 0 Solving 14m + 1m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(14 + m) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(14 + m)' equal to zero and attempt to solve: Simplifying 14 + m = 0 Solving 14 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + m = 0 + -14 m = 0 + -14 Combine like terms: 0 + -14 = -14 m = -14 Simplifying m = -14Solution
m = {0, -14}
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