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Simplifying 105 = -5(7 + -7r) 105 = (7 * -5 + -7r * -5) 105 = (-35 + 35r) Solving 105 = -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. 105 + -35r = -35 + 35r + -35r Combine like terms: 35r + -35r = 0 105 + -35r = -35 + 0 105 + -35r = -35 Add '-105' to each side of the equation. 105 + -105 + -35r = -35 + -105 Combine like terms: 105 + -105 = 0 0 + -35r = -35 + -105 -35r = -35 + -105 Combine like terms: -35 + -105 = -140 -35r = -140 Divide each side by '-35'. r = 4 Simplifying r = 4
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