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Simplifying 5(-2r + 2) + 2 = 5r + 36 Reorder the terms: 5(2 + -2r) + 2 = 5r + 36 (2 * 5 + -2r * 5) + 2 = 5r + 36 (10 + -10r) + 2 = 5r + 36 Reorder the terms: 10 + 2 + -10r = 5r + 36 Combine like terms: 10 + 2 = 12 12 + -10r = 5r + 36 Reorder the terms: 12 + -10r = 36 + 5r Solving 12 + -10r = 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. 12 + -10r + -5r = 36 + 5r + -5r Combine like terms: -10r + -5r = -15r 12 + -15r = 36 + 5r + -5r Combine like terms: 5r + -5r = 0 12 + -15r = 36 + 0 12 + -15r = 36 Add '-12' to each side of the equation. 12 + -12 + -15r = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -15r = 36 + -12 -15r = 36 + -12 Combine like terms: 36 + -12 = 24 -15r = 24 Divide each side by '-15'. r = -1.6 Simplifying r = -1.6
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