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Simplifying -4(u + 1) + 2 = 4(w + 2) Reorder the terms: -4(1 + u) + 2 = 4(w + 2) (1 * -4 + u * -4) + 2 = 4(w + 2) (-4 + -4u) + 2 = 4(w + 2) Reorder the terms: -4 + 2 + -4u = 4(w + 2) Combine like terms: -4 + 2 = -2 -2 + -4u = 4(w + 2) Reorder the terms: -2 + -4u = 4(2 + w) -2 + -4u = (2 * 4 + w * 4) -2 + -4u = (8 + 4w) Solving -2 + -4u = 8 + 4w Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -4u = 8 + 2 + 4w Combine like terms: -2 + 2 = 0 0 + -4u = 8 + 2 + 4w -4u = 8 + 2 + 4w Combine like terms: 8 + 2 = 10 -4u = 10 + 4w Divide each side by '-4'. u = -2.5 + -1w Simplifying u = -2.5 + -1w
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