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Simplifying 8r + 7 = 38r + 13 Reorder the terms: 7 + 8r = 38r + 13 Reorder the terms: 7 + 8r = 13 + 38r Solving 7 + 8r = 13 + 38r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-38r' to each side of the equation. 7 + 8r + -38r = 13 + 38r + -38r Combine like terms: 8r + -38r = -30r 7 + -30r = 13 + 38r + -38r Combine like terms: 38r + -38r = 0 7 + -30r = 13 + 0 7 + -30r = 13 Add '-7' to each side of the equation. 7 + -7 + -30r = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -30r = 13 + -7 -30r = 13 + -7 Combine like terms: 13 + -7 = 6 -30r = 6 Divide each side by '-30'. r = -0.2 Simplifying r = -0.2
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