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Simplifying 37 + 2r = 5(r + 8) Reorder the terms: 37 + 2r = 5(8 + r) 37 + 2r = (8 * 5 + r * 5) 37 + 2r = (40 + 5r) Solving 37 + 2r = 40 + 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. 37 + 2r + -5r = 40 + 5r + -5r Combine like terms: 2r + -5r = -3r 37 + -3r = 40 + 5r + -5r Combine like terms: 5r + -5r = 0 37 + -3r = 40 + 0 37 + -3r = 40 Add '-37' to each side of the equation. 37 + -37 + -3r = 40 + -37 Combine like terms: 37 + -37 = 0 0 + -3r = 40 + -37 -3r = 40 + -37 Combine like terms: 40 + -37 = 3 -3r = 3 Divide each side by '-3'. r = -1 Simplifying r = -1
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