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Simplifying 3m + 55 = 15 + -7m Reorder the terms: 55 + 3m = 15 + -7m Solving 55 + 3m = 15 + -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. 55 + 3m + 7m = 15 + -7m + 7m Combine like terms: 3m + 7m = 10m 55 + 10m = 15 + -7m + 7m Combine like terms: -7m + 7m = 0 55 + 10m = 15 + 0 55 + 10m = 15 Add '-55' to each side of the equation. 55 + -55 + 10m = 15 + -55 Combine like terms: 55 + -55 = 0 0 + 10m = 15 + -55 10m = 15 + -55 Combine like terms: 15 + -55 = -40 10m = -40 Divide each side by '10'. m = -4 Simplifying m = -4
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