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Simplifying -117 = 3(-7r + 3) Reorder the terms: -117 = 3(3 + -7r) -117 = (3 * 3 + -7r * 3) -117 = (9 + -21r) Solving -117 = 9 + -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. -117 + 21r = 9 + -21r + 21r Combine like terms: -21r + 21r = 0 -117 + 21r = 9 + 0 -117 + 21r = 9 Add '117' to each side of the equation. -117 + 117 + 21r = 9 + 117 Combine like terms: -117 + 117 = 0 0 + 21r = 9 + 117 21r = 9 + 117 Combine like terms: 9 + 117 = 126 21r = 126 Divide each side by '21'. r = 6 Simplifying r = 6
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