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Simplifying -5w + 43 = -3w + 27 Reorder the terms: 43 + -5w = -3w + 27 Reorder the terms: 43 + -5w = 27 + -3w Solving 43 + -5w = 27 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 43 + -5w + 3w = 27 + -3w + 3w Combine like terms: -5w + 3w = -2w 43 + -2w = 27 + -3w + 3w Combine like terms: -3w + 3w = 0 43 + -2w = 27 + 0 43 + -2w = 27 Add '-43' to each side of the equation. 43 + -43 + -2w = 27 + -43 Combine like terms: 43 + -43 = 0 0 + -2w = 27 + -43 -2w = 27 + -43 Combine like terms: 27 + -43 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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