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Simplifying -140 = 5(7 + -7r) -140 = (7 * 5 + -7r * 5) -140 = (35 + -35r) Solving -140 = 35 + -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. -140 + 35r = 35 + -35r + 35r Combine like terms: -35r + 35r = 0 -140 + 35r = 35 + 0 -140 + 35r = 35 Add '140' to each side of the equation. -140 + 140 + 35r = 35 + 140 Combine like terms: -140 + 140 = 0 0 + 35r = 35 + 140 35r = 35 + 140 Combine like terms: 35 + 140 = 175 35r = 175 Divide each side by '35'. r = 5 Simplifying r = 5
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