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Simplifying 7m + 21 = 35 + 24m Reorder the terms: 21 + 7m = 35 + 24m Solving 21 + 7m = 35 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 21 + 7m + -24m = 35 + 24m + -24m Combine like terms: 7m + -24m = -17m 21 + -17m = 35 + 24m + -24m Combine like terms: 24m + -24m = 0 21 + -17m = 35 + 0 21 + -17m = 35 Add '-21' to each side of the equation. 21 + -21 + -17m = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -17m = 35 + -21 -17m = 35 + -21 Combine like terms: 35 + -21 = 14 -17m = 14 Divide each side by '-17'. m = -0.8235294118 Simplifying m = -0.8235294118
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