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Simplifying 126 = 6(4r + 1) Reorder the terms: 126 = 6(1 + 4r) 126 = (1 * 6 + 4r * 6) 126 = (6 + 24r) Solving 126 = 6 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 126 + -24r = 6 + 24r + -24r Combine like terms: 24r + -24r = 0 126 + -24r = 6 + 0 126 + -24r = 6 Add '-126' to each side of the equation. 126 + -126 + -24r = 6 + -126 Combine like terms: 126 + -126 = 0 0 + -24r = 6 + -126 -24r = 6 + -126 Combine like terms: 6 + -126 = -120 -24r = -120 Divide each side by '-24'. r = 5 Simplifying r = 5
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