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Simplifying 2(2r + -9) = 2(-4r + 9) Reorder the terms: 2(-9 + 2r) = 2(-4r + 9) (-9 * 2 + 2r * 2) = 2(-4r + 9) (-18 + 4r) = 2(-4r + 9) Reorder the terms: -18 + 4r = 2(9 + -4r) -18 + 4r = (9 * 2 + -4r * 2) -18 + 4r = (18 + -8r) Solving -18 + 4r = 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 + 4r + 8r = 18 + -8r + 8r Combine like terms: 4r + 8r = 12r -18 + 12r = 18 + -8r + 8r Combine like terms: -8r + 8r = 0 -18 + 12r = 18 + 0 -18 + 12r = 18 Add '18' to each side of the equation. -18 + 18 + 12r = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 12r = 18 + 18 12r = 18 + 18 Combine like terms: 18 + 18 = 36 12r = 36 Divide each side by '12'. r = 3 Simplifying r = 3
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