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Simplifying 7m + 21 = 9m + 7 Reorder the terms: 21 + 7m = 9m + 7 Reorder the terms: 21 + 7m = 7 + 9m Solving 21 + 7m = 7 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 21 + 7m + -9m = 7 + 9m + -9m Combine like terms: 7m + -9m = -2m 21 + -2m = 7 + 9m + -9m Combine like terms: 9m + -9m = 0 21 + -2m = 7 + 0 21 + -2m = 7 Add '-21' to each side of the equation. 21 + -21 + -2m = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -2m = 7 + -21 -2m = 7 + -21 Combine like terms: 7 + -21 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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