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Simplifying 7(7 + -4m) + -2 = 24 + -5m (7 * 7 + -4m * 7) + -2 = 24 + -5m (49 + -28m) + -2 = 24 + -5m Reorder the terms: 49 + -2 + -28m = 24 + -5m Combine like terms: 49 + -2 = 47 47 + -28m = 24 + -5m Solving 47 + -28m = 24 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 47 + -28m + 5m = 24 + -5m + 5m Combine like terms: -28m + 5m = -23m 47 + -23m = 24 + -5m + 5m Combine like terms: -5m + 5m = 0 47 + -23m = 24 + 0 47 + -23m = 24 Add '-47' to each side of the equation. 47 + -47 + -23m = 24 + -47 Combine like terms: 47 + -47 = 0 0 + -23m = 24 + -47 -23m = 24 + -47 Combine like terms: 24 + -47 = -23 -23m = -23 Divide each side by '-23'. m = 1 Simplifying m = 1
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