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