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Simplifying 4(4 + -1w) = 33(2w + 2) (4 * 4 + -1w * 4) = 33(2w + 2) (16 + -4w) = 33(2w + 2) Reorder the terms: 16 + -4w = 33(2 + 2w) 16 + -4w = (2 * 33 + 2w * 33) 16 + -4w = (66 + 66w) Solving 16 + -4w = 66 + 66w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-66w' to each side of the equation. 16 + -4w + -66w = 66 + 66w + -66w Combine like terms: -4w + -66w = -70w 16 + -70w = 66 + 66w + -66w Combine like terms: 66w + -66w = 0 16 + -70w = 66 + 0 16 + -70w = 66 Add '-16' to each side of the equation. 16 + -16 + -70w = 66 + -16 Combine like terms: 16 + -16 = 0 0 + -70w = 66 + -16 -70w = 66 + -16 Combine like terms: 66 + -16 = 50 -70w = 50 Divide each side by '-70'. w = -0.7142857143 Simplifying w = -0.7142857143
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