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Simplifying -1r + 37 = 2(2r + 5) + 2 Reorder the terms: 37 + -1r = 2(2r + 5) + 2 Reorder the terms: 37 + -1r = 2(5 + 2r) + 2 37 + -1r = (5 * 2 + 2r * 2) + 2 37 + -1r = (10 + 4r) + 2 Reorder the terms: 37 + -1r = 10 + 2 + 4r Combine like terms: 10 + 2 = 12 37 + -1r = 12 + 4r Solving 37 + -1r = 12 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 37 + -1r + -4r = 12 + 4r + -4r Combine like terms: -1r + -4r = -5r 37 + -5r = 12 + 4r + -4r Combine like terms: 4r + -4r = 0 37 + -5r = 12 + 0 37 + -5r = 12 Add '-37' to each side of the equation. 37 + -37 + -5r = 12 + -37 Combine like terms: 37 + -37 = 0 0 + -5r = 12 + -37 -5r = 12 + -37 Combine like terms: 12 + -37 = -25 -5r = -25 Divide each side by '-5'. r = 5 Simplifying r = 5
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