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Simplifying -3w + 15w + 7 = 8w + 43 Reorder the terms: 7 + -3w + 15w = 8w + 43 Combine like terms: -3w + 15w = 12w 7 + 12w = 8w + 43 Reorder the terms: 7 + 12w = 43 + 8w Solving 7 + 12w = 43 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 7 + 12w + -8w = 43 + 8w + -8w Combine like terms: 12w + -8w = 4w 7 + 4w = 43 + 8w + -8w Combine like terms: 8w + -8w = 0 7 + 4w = 43 + 0 7 + 4w = 43 Add '-7' to each side of the equation. 7 + -7 + 4w = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 4w = 43 + -7 4w = 43 + -7 Combine like terms: 43 + -7 = 36 4w = 36 Divide each side by '4'. w = 9 Simplifying w = 9
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