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Simplifying 4(r + 1) = 6 + -2 + 2r Reorder the terms: 4(1 + r) = 6 + -2 + 2r (1 * 4 + r * 4) = 6 + -2 + 2r (4 + 4r) = 6 + -2 + 2r Combine like terms: 6 + -2 = 4 4 + 4r = 4 + 2r Add '-4' to each side of the equation. 4 + -4 + 4r = 4 + -4 + 2r Combine like terms: 4 + -4 = 0 0 + 4r = 4 + -4 + 2r 4r = 4 + -4 + 2r Combine like terms: 4 + -4 = 0 4r = 0 + 2r 4r = 2r Solving 4r = 2r 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. 4r + -2r = 2r + -2r Combine like terms: 4r + -2r = 2r 2r = 2r + -2r Combine like terms: 2r + -2r = 0 2r = 0 Divide each side by '2'. r = 0 Simplifying r = 0
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