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Simplifying -5(r + -7) = 10r + -5 + -5r Reorder the terms: -5(-7 + r) = 10r + -5 + -5r (-7 * -5 + r * -5) = 10r + -5 + -5r (35 + -5r) = 10r + -5 + -5r Reorder the terms: 35 + -5r = -5 + 10r + -5r Combine like terms: 10r + -5r = 5r 35 + -5r = -5 + 5r Solving 35 + -5r = -5 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 35 + -5r + -5r = -5 + 5r + -5r Combine like terms: -5r + -5r = -10r 35 + -10r = -5 + 5r + -5r Combine like terms: 5r + -5r = 0 35 + -10r = -5 + 0 35 + -10r = -5 Add '-35' to each side of the equation. 35 + -35 + -10r = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -10r = -5 + -35 -10r = -5 + -35 Combine like terms: -5 + -35 = -40 -10r = -40 Divide each side by '-10'. r = 4 Simplifying r = 4
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