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Simplifying 182 = 7(1 + 5r) 182 = (1 * 7 + 5r * 7) 182 = (7 + 35r) Solving 182 = 7 + 35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35r' to each side of the equation. 182 + -35r = 7 + 35r + -35r Combine like terms: 35r + -35r = 0 182 + -35r = 7 + 0 182 + -35r = 7 Add '-182' to each side of the equation. 182 + -182 + -35r = 7 + -182 Combine like terms: 182 + -182 = 0 0 + -35r = 7 + -182 -35r = 7 + -182 Combine like terms: 7 + -182 = -175 -35r = -175 Divide each side by '-35'. r = 5 Simplifying r = 5
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