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Simplifying 7w + -14 + -9 = 24w + -15 + -7w Reorder the terms: -14 + -9 + 7w = 24w + -15 + -7w Combine like terms: -14 + -9 = -23 -23 + 7w = 24w + -15 + -7w Reorder the terms: -23 + 7w = -15 + 24w + -7w Combine like terms: 24w + -7w = 17w -23 + 7w = -15 + 17w Solving -23 + 7w = -15 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -23 + 7w + -17w = -15 + 17w + -17w Combine like terms: 7w + -17w = -10w -23 + -10w = -15 + 17w + -17w Combine like terms: 17w + -17w = 0 -23 + -10w = -15 + 0 -23 + -10w = -15 Add '23' to each side of the equation. -23 + 23 + -10w = -15 + 23 Combine like terms: -23 + 23 = 0 0 + -10w = -15 + 23 -10w = -15 + 23 Combine like terms: -15 + 23 = 8 -10w = 8 Divide each side by '-10'. w = -0.8 Simplifying w = -0.8
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