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Simplifying -4(4 + -1w) = 3(2w + 2) (4 * -4 + -1w * -4) = 3(2w + 2) (-16 + 4w) = 3(2w + 2) Reorder the terms: -16 + 4w = 3(2 + 2w) -16 + 4w = (2 * 3 + 2w * 3) -16 + 4w = (6 + 6w) Solving -16 + 4w = 6 + 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 = 6 + 6w + -6w Combine like terms: 4w + -6w = -2w -16 + -2w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 -16 + -2w = 6 + 0 -16 + -2w = 6 Add '16' to each side of the equation. -16 + 16 + -2w = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -2w = 6 + 16 -2w = 6 + 16 Combine like terms: 6 + 16 = 22 -2w = 22 Divide each side by '-2'. w = -11 Simplifying w = -11
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