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Simplifying -4(r + 2) = 4(w + 1) Reorder the terms: -4(2 + r) = 4(w + 1) (2 * -4 + r * -4) = 4(w + 1) (-8 + -4r) = 4(w + 1) Reorder the terms: -8 + -4r = 4(1 + w) -8 + -4r = (1 * 4 + w * 4) -8 + -4r = (4 + 4w) Solving -8 + -4r = 4 + 4w Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -4r = 4 + 8 + 4w Combine like terms: -8 + 8 = 0 0 + -4r = 4 + 8 + 4w -4r = 4 + 8 + 4w Combine like terms: 4 + 8 = 12 -4r = 12 + 4w Divide each side by '-4'. r = -3 + -1w Simplifying r = -3 + -1w
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