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Simplifying 2w + -43 = -3(w + 6) Reorder the terms: -43 + 2w = -3(w + 6) Reorder the terms: -43 + 2w = -3(6 + w) -43 + 2w = (6 * -3 + w * -3) -43 + 2w = (-18 + -3w) Solving -43 + 2w = -18 + -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 + 2w + 3w = -18 + -3w + 3w Combine like terms: 2w + 3w = 5w -43 + 5w = -18 + -3w + 3w Combine like terms: -3w + 3w = 0 -43 + 5w = -18 + 0 -43 + 5w = -18 Add '43' to each side of the equation. -43 + 43 + 5w = -18 + 43 Combine like terms: -43 + 43 = 0 0 + 5w = -18 + 43 5w = -18 + 43 Combine like terms: -18 + 43 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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