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Simplifying 7 + -7m = 7m + 42 Reorder the terms: 7 + -7m = 42 + 7m Solving 7 + -7m = 42 + 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. 7 + -7m + -7m = 42 + 7m + -7m Combine like terms: -7m + -7m = -14m 7 + -14m = 42 + 7m + -7m Combine like terms: 7m + -7m = 0 7 + -14m = 42 + 0 7 + -14m = 42 Add '-7' to each side of the equation. 7 + -7 + -14m = 42 + -7 Combine like terms: 7 + -7 = 0 0 + -14m = 42 + -7 -14m = 42 + -7 Combine like terms: 42 + -7 = 35 -14m = 35 Divide each side by '-14'. m = -2.5 Simplifying m = -2.5
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