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Simplifying 165 = 5(4r + 1) Reorder the terms: 165 = 5(1 + 4r) 165 = (1 * 5 + 4r * 5) 165 = (5 + 20r) Solving 165 = 5 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. 165 + -20r = 5 + 20r + -20r Combine like terms: 20r + -20r = 0 165 + -20r = 5 + 0 165 + -20r = 5 Add '-165' to each side of the equation. 165 + -165 + -20r = 5 + -165 Combine like terms: 165 + -165 = 0 0 + -20r = 5 + -165 -20r = 5 + -165 Combine like terms: 5 + -165 = -160 -20r = -160 Divide each side by '-20'. r = 8 Simplifying r = 8
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