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Simplifying 2r + 3u = 2(3r + 6) Reorder the terms: 2r + 3u = 2(6 + 3r) 2r + 3u = (6 * 2 + 3r * 2) 2r + 3u = (12 + 6r) Solving 2r + 3u = 12 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 2r + -6r + 3u = 12 + 6r + -6r Combine like terms: 2r + -6r = -4r -4r + 3u = 12 + 6r + -6r Combine like terms: 6r + -6r = 0 -4r + 3u = 12 + 0 -4r + 3u = 12 Add '-3u' to each side of the equation. -4r + 3u + -3u = 12 + -3u Combine like terms: 3u + -3u = 0 -4r + 0 = 12 + -3u -4r = 12 + -3u Divide each side by '-4'. r = -3 + 0.75u Simplifying r = -3 + 0.75u
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