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Simplifying 37 + r = 2(1 + 4r) 37 + r = (1 * 2 + 4r * 2) 37 + r = (2 + 8r) Solving 37 + r = 2 + 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. 37 + r + -8r = 2 + 8r + -8r Combine like terms: r + -8r = -7r 37 + -7r = 2 + 8r + -8r Combine like terms: 8r + -8r = 0 37 + -7r = 2 + 0 37 + -7r = 2 Add '-37' to each side of the equation. 37 + -37 + -7r = 2 + -37 Combine like terms: 37 + -37 = 0 0 + -7r = 2 + -37 -7r = 2 + -37 Combine like terms: 2 + -37 = -35 -7r = -35 Divide each side by '-7'. r = 5 Simplifying r = 5
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