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Simplifying 24 + -12w = 25(w + 10) Reorder the terms: 24 + -12w = 25(10 + w) 24 + -12w = (10 * 25 + w * 25) 24 + -12w = (250 + 25w) Solving 24 + -12w = 250 + 25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25w' to each side of the equation. 24 + -12w + -25w = 250 + 25w + -25w Combine like terms: -12w + -25w = -37w 24 + -37w = 250 + 25w + -25w Combine like terms: 25w + -25w = 0 24 + -37w = 250 + 0 24 + -37w = 250 Add '-24' to each side of the equation. 24 + -24 + -37w = 250 + -24 Combine like terms: 24 + -24 = 0 0 + -37w = 250 + -24 -37w = 250 + -24 Combine like terms: 250 + -24 = 226 -37w = 226 Divide each side by '-37'. w = -6.108108108 Simplifying w = -6.108108108
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