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Simplifying -3w + 43 = -8(w + -6) Reorder the terms: 43 + -3w = -8(w + -6) Reorder the terms: 43 + -3w = -8(-6 + w) 43 + -3w = (-6 * -8 + w * -8) 43 + -3w = (48 + -8w) Solving 43 + -3w = 48 + -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. 43 + -3w + 8w = 48 + -8w + 8w Combine like terms: -3w + 8w = 5w 43 + 5w = 48 + -8w + 8w Combine like terms: -8w + 8w = 0 43 + 5w = 48 + 0 43 + 5w = 48 Add '-43' to each side of the equation. 43 + -43 + 5w = 48 + -43 Combine like terms: 43 + -43 = 0 0 + 5w = 48 + -43 5w = 48 + -43 Combine like terms: 48 + -43 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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