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Simplifying -4 + 2(-2r + 5) = 10 + -8r Reorder the terms: -4 + 2(5 + -2r) = 10 + -8r -4 + (5 * 2 + -2r * 2) = 10 + -8r -4 + (10 + -4r) = 10 + -8r Combine like terms: -4 + 10 = 6 6 + -4r = 10 + -8r Solving 6 + -4r = 10 + -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. 6 + -4r + 8r = 10 + -8r + 8r Combine like terms: -4r + 8r = 4r 6 + 4r = 10 + -8r + 8r Combine like terms: -8r + 8r = 0 6 + 4r = 10 + 0 6 + 4r = 10 Add '-6' to each side of the equation. 6 + -6 + 4r = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4r = 10 + -6 4r = 10 + -6 Combine like terms: 10 + -6 = 4 4r = 4 Divide each side by '4'. r = 1 Simplifying r = 1
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