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Simplifying 4w + 1r = 2w + 2r + 40 Reorder the terms: 1r + 4w = 2w + 2r + 40 Reorder the terms: 1r + 4w = 40 + 2r + 2w Solving 1r + 4w = 40 + 2r + 2w Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 1r + -2r + 4w = 40 + 2r + -2r + 2w Combine like terms: 1r + -2r = -1r -1r + 4w = 40 + 2r + -2r + 2w Combine like terms: 2r + -2r = 0 -1r + 4w = 40 + 0 + 2w -1r + 4w = 40 + 2w Add '-4w' to each side of the equation. -1r + 4w + -4w = 40 + 2w + -4w Combine like terms: 4w + -4w = 0 -1r + 0 = 40 + 2w + -4w -1r = 40 + 2w + -4w Combine like terms: 2w + -4w = -2w -1r = 40 + -2w Divide each side by '-1'. r = -40 + 2w Simplifying r = -40 + 2w
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