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Simplifying 21 + 6m = 30 + 7m + -7 Reorder the terms: 21 + 6m = 30 + -7 + 7m Combine like terms: 30 + -7 = 23 21 + 6m = 23 + 7m Solving 21 + 6m = 23 + 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. 21 + 6m + -7m = 23 + 7m + -7m Combine like terms: 6m + -7m = -1m 21 + -1m = 23 + 7m + -7m Combine like terms: 7m + -7m = 0 21 + -1m = 23 + 0 21 + -1m = 23 Add '-21' to each side of the equation. 21 + -21 + -1m = 23 + -21 Combine like terms: 21 + -21 = 0 0 + -1m = 23 + -21 -1m = 23 + -21 Combine like terms: 23 + -21 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2
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