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Simplifying -1(r + 5) = 10 + 4r Reorder the terms: -1(5 + r) = 10 + 4r (5 * -1 + r * -1) = 10 + 4r (-5 + -1r) = 10 + 4r Solving -5 + -1r = 10 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -5 + -1r + -4r = 10 + 4r + -4r Combine like terms: -1r + -4r = -5r -5 + -5r = 10 + 4r + -4r Combine like terms: 4r + -4r = 0 -5 + -5r = 10 + 0 -5 + -5r = 10 Add '5' to each side of the equation. -5 + 5 + -5r = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -5r = 10 + 5 -5r = 10 + 5 Combine like terms: 10 + 5 = 15 -5r = 15 Divide each side by '-5'. r = -3 Simplifying r = -3
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