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Simplifying 157 = 3(5 + 7r) + -5 157 = (5 * 3 + 7r * 3) + -5 157 = (15 + 21r) + -5 Reorder the terms: 157 = 15 + -5 + 21r Combine like terms: 15 + -5 = 10 157 = 10 + 21r Solving 157 = 10 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. 157 + -21r = 10 + 21r + -21r Combine like terms: 21r + -21r = 0 157 + -21r = 10 + 0 157 + -21r = 10 Add '-157' to each side of the equation. 157 + -157 + -21r = 10 + -157 Combine like terms: 157 + -157 = 0 0 + -21r = 10 + -157 -21r = 10 + -157 Combine like terms: 10 + -157 = -147 -21r = -147 Divide each side by '-21'. r = 7 Simplifying r = 7
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