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Simplifying 5(-2r + 2) + 2r = 5r + 36 Reorder the terms: 5(2 + -2r) + 2r = 5r + 36 (2 * 5 + -2r * 5) + 2r = 5r + 36 (10 + -10r) + 2r = 5r + 36 Combine like terms: -10r + 2r = -8r 10 + -8r = 5r + 36 Reorder the terms: 10 + -8r = 36 + 5r Solving 10 + -8r = 36 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 10 + -8r + -5r = 36 + 5r + -5r Combine like terms: -8r + -5r = -13r 10 + -13r = 36 + 5r + -5r Combine like terms: 5r + -5r = 0 10 + -13r = 36 + 0 10 + -13r = 36 Add '-10' to each side of the equation. 10 + -10 + -13r = 36 + -10 Combine like terms: 10 + -10 = 0 0 + -13r = 36 + -10 -13r = 36 + -10 Combine like terms: 36 + -10 = 26 -13r = 26 Divide each side by '-13'. r = -2 Simplifying r = -2
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