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Simplifying -168 = 7(1 + -5r) -168 = (1 * 7 + -5r * 7) -168 = (7 + -35r) Solving -168 = 7 + -35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35r' to each side of the equation. -168 + 35r = 7 + -35r + 35r Combine like terms: -35r + 35r = 0 -168 + 35r = 7 + 0 -168 + 35r = 7 Add '168' to each side of the equation. -168 + 168 + 35r = 7 + 168 Combine like terms: -168 + 168 = 0 0 + 35r = 7 + 168 35r = 7 + 168 Combine like terms: 7 + 168 = 175 35r = 175 Divide each side by '35'. r = 5 Simplifying r = 5
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