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Simplifying 5w + -43 = -7(w + 1) Reorder the terms: -43 + 5w = -7(w + 1) Reorder the terms: -43 + 5w = -7(1 + w) -43 + 5w = (1 * -7 + w * -7) -43 + 5w = (-7 + -7w) Solving -43 + 5w = -7 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -43 + 5w + 7w = -7 + -7w + 7w Combine like terms: 5w + 7w = 12w -43 + 12w = -7 + -7w + 7w Combine like terms: -7w + 7w = 0 -43 + 12w = -7 + 0 -43 + 12w = -7 Add '43' to each side of the equation. -43 + 43 + 12w = -7 + 43 Combine like terms: -43 + 43 = 0 0 + 12w = -7 + 43 12w = -7 + 43 Combine like terms: -7 + 43 = 36 12w = 36 Divide each side by '12'. w = 3 Simplifying w = 3
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