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Simplifying 18 + -3m = 7m + 2(-7m + -7) Reorder the terms: 18 + -3m = 7m + 2(-7 + -7m) 18 + -3m = 7m + (-7 * 2 + -7m * 2) 18 + -3m = 7m + (-14 + -14m) Reorder the terms: 18 + -3m = -14 + 7m + -14m Combine like terms: 7m + -14m = -7m 18 + -3m = -14 + -7m Solving 18 + -3m = -14 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 18 + -3m + 7m = -14 + -7m + 7m Combine like terms: -3m + 7m = 4m 18 + 4m = -14 + -7m + 7m Combine like terms: -7m + 7m = 0 18 + 4m = -14 + 0 18 + 4m = -14 Add '-18' to each side of the equation. 18 + -18 + 4m = -14 + -18 Combine like terms: 18 + -18 = 0 0 + 4m = -14 + -18 4m = -14 + -18 Combine like terms: -14 + -18 = -32 4m = -32 Divide each side by '4'. m = -8 Simplifying m = -8
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