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Simplifying -7w + 8 + -12w = 16 + -15w Reorder the terms: 8 + -7w + -12w = 16 + -15w Combine like terms: -7w + -12w = -19w 8 + -19w = 16 + -15w Solving 8 + -19w = 16 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 8 + -19w + 15w = 16 + -15w + 15w Combine like terms: -19w + 15w = -4w 8 + -4w = 16 + -15w + 15w Combine like terms: -15w + 15w = 0 8 + -4w = 16 + 0 8 + -4w = 16 Add '-8' to each side of the equation. 8 + -8 + -4w = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = 16 + -8 -4w = 16 + -8 Combine like terms: 16 + -8 = 8 -4w = 8 Divide each side by '-4'. w = -2 Simplifying w = -2
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