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Simplifying 4(r + 1) = 6 + 2(1 + -2r) Reorder the terms: 4(1 + r) = 6 + 2(1 + -2r) (1 * 4 + r * 4) = 6 + 2(1 + -2r) (4 + 4r) = 6 + 2(1 + -2r) 4 + 4r = 6 + (1 * 2 + -2r * 2) 4 + 4r = 6 + (2 + -4r) Combine like terms: 6 + 2 = 8 4 + 4r = 8 + -4r Solving 4 + 4r = 8 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 4 + 4r + 4r = 8 + -4r + 4r Combine like terms: 4r + 4r = 8r 4 + 8r = 8 + -4r + 4r Combine like terms: -4r + 4r = 0 4 + 8r = 8 + 0 4 + 8r = 8 Add '-4' to each side of the equation. 4 + -4 + 8r = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 8r = 8 + -4 8r = 8 + -4 Combine like terms: 8 + -4 = 4 8r = 4 Divide each side by '8'. r = 0.5 Simplifying r = 0.5
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