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Simplifying 8 + -4w + 7 + -6w = 105 Reorder the terms: 8 + 7 + -4w + -6w = 105 Combine like terms: 8 + 7 = 15 15 + -4w + -6w = 105 Combine like terms: -4w + -6w = -10w 15 + -10w = 105 Solving 15 + -10w = 105 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -10w = 105 + -15 Combine like terms: 15 + -15 = 0 0 + -10w = 105 + -15 -10w = 105 + -15 Combine like terms: 105 + -15 = 90 -10w = 90 Divide each side by '-10'. w = -9 Simplifying w = -9
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