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Simplifying 4(4 + -1w) = 3(2w + 9) (4 * 4 + -1w * 4) = 3(2w + 9) (16 + -4w) = 3(2w + 9) Reorder the terms: 16 + -4w = 3(9 + 2w) 16 + -4w = (9 * 3 + 2w * 3) 16 + -4w = (27 + 6w) Solving 16 + -4w = 27 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 16 + -4w + -6w = 27 + 6w + -6w Combine like terms: -4w + -6w = -10w 16 + -10w = 27 + 6w + -6w Combine like terms: 6w + -6w = 0 16 + -10w = 27 + 0 16 + -10w = 27 Add '-16' to each side of the equation. 16 + -16 + -10w = 27 + -16 Combine like terms: 16 + -16 = 0 0 + -10w = 27 + -16 -10w = 27 + -16 Combine like terms: 27 + -16 = 11 -10w = 11 Divide each side by '-10'. w = -1.1 Simplifying w = -1.1
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