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Simplifying 24w + -15 = 3(7w + -5) Reorder the terms: -15 + 24w = 3(7w + -5) Reorder the terms: -15 + 24w = 3(-5 + 7w) -15 + 24w = (-5 * 3 + 7w * 3) -15 + 24w = (-15 + 21w) Add '15' to each side of the equation. -15 + 15 + 24w = -15 + 15 + 21w Combine like terms: -15 + 15 = 0 0 + 24w = -15 + 15 + 21w 24w = -15 + 15 + 21w Combine like terms: -15 + 15 = 0 24w = 0 + 21w 24w = 21w Solving 24w = 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. 24w + -21w = 21w + -21w Combine like terms: 24w + -21w = 3w 3w = 21w + -21w Combine like terms: 21w + -21w = 0 3w = 0 Divide each side by '3'. w = 0 Simplifying w = 0
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