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Simplifying -1(5r + 8) + -4r = -1(r + 8) + -3r Reorder the terms: -1(8 + 5r) + -4r = -1(r + 8) + -3r (8 * -1 + 5r * -1) + -4r = -1(r + 8) + -3r (-8 + -5r) + -4r = -1(r + 8) + -3r Combine like terms: -5r + -4r = -9r -8 + -9r = -1(r + 8) + -3r Reorder the terms: -8 + -9r = -1(8 + r) + -3r -8 + -9r = (8 * -1 + r * -1) + -3r -8 + -9r = (-8 + -1r) + -3r Combine like terms: -1r + -3r = -4r -8 + -9r = -8 + -4r Add '8' to each side of the equation. -8 + 8 + -9r = -8 + 8 + -4r Combine like terms: -8 + 8 = 0 0 + -9r = -8 + 8 + -4r -9r = -8 + 8 + -4r Combine like terms: -8 + 8 = 0 -9r = 0 + -4r -9r = -4r Solving -9r = -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. -9r + 4r = -4r + 4r Combine like terms: -9r + 4r = -5r -5r = -4r + 4r Combine like terms: -4r + 4r = 0 -5r = 0 Divide each side by '-5'. r = 0 Simplifying r = 0
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