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Simplifying -5m + 45 = 27 + -7m Reorder the terms: 45 + -5m = 27 + -7m Solving 45 + -5m = 27 + -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. 45 + -5m + 7m = 27 + -7m + 7m Combine like terms: -5m + 7m = 2m 45 + 2m = 27 + -7m + 7m Combine like terms: -7m + 7m = 0 45 + 2m = 27 + 0 45 + 2m = 27 Add '-45' to each side of the equation. 45 + -45 + 2m = 27 + -45 Combine like terms: 45 + -45 = 0 0 + 2m = 27 + -45 2m = 27 + -45 Combine like terms: 27 + -45 = -18 2m = -18 Divide each side by '2'. m = -9 Simplifying m = -9
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