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Simplifying 150 = 3(7r + 1) Reorder the terms: 150 = 3(1 + 7r) 150 = (1 * 3 + 7r * 3) 150 = (3 + 21r) Solving 150 = 3 + 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. 150 + -21r = 3 + 21r + -21r Combine like terms: 21r + -21r = 0 150 + -21r = 3 + 0 150 + -21r = 3 Add '-150' to each side of the equation. 150 + -150 + -21r = 3 + -150 Combine like terms: 150 + -150 = 0 0 + -21r = 3 + -150 -21r = 3 + -150 Combine like terms: 3 + -150 = -147 -21r = -147 Divide each side by '-21'. r = 7 Simplifying r = 7
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