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Simplifying 2(r + 9) = 2(4r + -9) Reorder the terms: 2(9 + r) = 2(4r + -9) (9 * 2 + r * 2) = 2(4r + -9) (18 + 2r) = 2(4r + -9) Reorder the terms: 18 + 2r = 2(-9 + 4r) 18 + 2r = (-9 * 2 + 4r * 2) 18 + 2r = (-18 + 8r) Solving 18 + 2r = -18 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 18 + 2r + -8r = -18 + 8r + -8r Combine like terms: 2r + -8r = -6r 18 + -6r = -18 + 8r + -8r Combine like terms: 8r + -8r = 0 18 + -6r = -18 + 0 18 + -6r = -18 Add '-18' to each side of the equation. 18 + -18 + -6r = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -6r = -18 + -18 -6r = -18 + -18 Combine like terms: -18 + -18 = -36 -6r = -36 Divide each side by '-6'. r = 6 Simplifying r = 6
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