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Simplifying 2(2r + 2) = 4(2r + -6) Reorder the terms: 2(2 + 2r) = 4(2r + -6) (2 * 2 + 2r * 2) = 4(2r + -6) (4 + 4r) = 4(2r + -6) Reorder the terms: 4 + 4r = 4(-6 + 2r) 4 + 4r = (-6 * 4 + 2r * 4) 4 + 4r = (-24 + 8r) Solving 4 + 4r = -24 + 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. 4 + 4r + -8r = -24 + 8r + -8r Combine like terms: 4r + -8r = -4r 4 + -4r = -24 + 8r + -8r Combine like terms: 8r + -8r = 0 4 + -4r = -24 + 0 4 + -4r = -24 Add '-4' to each side of the equation. 4 + -4 + -4r = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -4r = -24 + -4 -4r = -24 + -4 Combine like terms: -24 + -4 = -28 -4r = -28 Divide each side by '-4'. r = 7 Simplifying r = 7
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