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Simplifying -161 = -7(-1 + -3r) -161 = (-1 * -7 + -3r * -7) -161 = (7 + 21r) Solving -161 = 7 + 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. -161 + -21r = 7 + 21r + -21r Combine like terms: 21r + -21r = 0 -161 + -21r = 7 + 0 -161 + -21r = 7 Add '161' to each side of the equation. -161 + 161 + -21r = 7 + 161 Combine like terms: -161 + 161 = 0 0 + -21r = 7 + 161 -21r = 7 + 161 Combine like terms: 7 + 161 = 168 -21r = 168 Divide each side by '-21'. r = -8 Simplifying r = -8
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