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Simplifying -5w + -33 = -2(w + 9) Reorder the terms: -33 + -5w = -2(w + 9) Reorder the terms: -33 + -5w = -2(9 + w) -33 + -5w = (9 * -2 + w * -2) -33 + -5w = (-18 + -2w) Solving -33 + -5w = -18 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -33 + -5w + 2w = -18 + -2w + 2w Combine like terms: -5w + 2w = -3w -33 + -3w = -18 + -2w + 2w Combine like terms: -2w + 2w = 0 -33 + -3w = -18 + 0 -33 + -3w = -18 Add '33' to each side of the equation. -33 + 33 + -3w = -18 + 33 Combine like terms: -33 + 33 = 0 0 + -3w = -18 + 33 -3w = -18 + 33 Combine like terms: -18 + 33 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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