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Simplifying -157 = -3 + 7(3r + 2) Reorder the terms: -157 = -3 + 7(2 + 3r) -157 = -3 + (2 * 7 + 3r * 7) -157 = -3 + (14 + 21r) Combine like terms: -3 + 14 = 11 -157 = 11 + 21r Solving -157 = 11 + 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 = 11 + 21r + -21r Combine like terms: 21r + -21r = 0 -157 + -21r = 11 + 0 -157 + -21r = 11 Add '157' to each side of the equation. -157 + 157 + -21r = 11 + 157 Combine like terms: -157 + 157 = 0 0 + -21r = 11 + 157 -21r = 11 + 157 Combine like terms: 11 + 157 = 168 -21r = 168 Divide each side by '-21'. r = -8 Simplifying r = -8
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