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Simplifying -7(4m + -1) = 30 + -5m Reorder the terms: -7(-1 + 4m) = 30 + -5m (-1 * -7 + 4m * -7) = 30 + -5m (7 + -28m) = 30 + -5m Solving 7 + -28m = 30 + -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. 7 + -28m + 5m = 30 + -5m + 5m Combine like terms: -28m + 5m = -23m 7 + -23m = 30 + -5m + 5m Combine like terms: -5m + 5m = 0 7 + -23m = 30 + 0 7 + -23m = 30 Add '-7' to each side of the equation. 7 + -7 + -23m = 30 + -7 Combine like terms: 7 + -7 = 0 0 + -23m = 30 + -7 -23m = 30 + -7 Combine like terms: 30 + -7 = 23 -23m = 23 Divide each side by '-23'. m = -1 Simplifying m = -1
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