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Simplifying -1(5r + 4) = -1(r + -10) + -8r Reorder the terms: -1(4 + 5r) = -1(r + -10) + -8r (4 * -1 + 5r * -1) = -1(r + -10) + -8r (-4 + -5r) = -1(r + -10) + -8r Reorder the terms: -4 + -5r = -1(-10 + r) + -8r -4 + -5r = (-10 * -1 + r * -1) + -8r -4 + -5r = (10 + -1r) + -8r Combine like terms: -1r + -8r = -9r -4 + -5r = 10 + -9r Solving -4 + -5r = 10 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. -4 + -5r + 9r = 10 + -9r + 9r Combine like terms: -5r + 9r = 4r -4 + 4r = 10 + -9r + 9r Combine like terms: -9r + 9r = 0 -4 + 4r = 10 + 0 -4 + 4r = 10 Add '4' to each side of the equation. -4 + 4 + 4r = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 4r = 10 + 4 4r = 10 + 4 Combine like terms: 10 + 4 = 14 4r = 14 Divide each side by '4'. r = 3.5 Simplifying r = 3.5
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