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Simplifying 4(r + -5) + -5 = -5 + 8r Reorder the terms: 4(-5 + r) + -5 = -5 + 8r (-5 * 4 + r * 4) + -5 = -5 + 8r (-20 + 4r) + -5 = -5 + 8r Reorder the terms: -20 + -5 + 4r = -5 + 8r Combine like terms: -20 + -5 = -25 -25 + 4r = -5 + 8r Solving -25 + 4r = -5 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -25 + 4r + -8r = -5 + 8r + -8r Combine like terms: 4r + -8r = -4r -25 + -4r = -5 + 8r + -8r Combine like terms: 8r + -8r = 0 -25 + -4r = -5 + 0 -25 + -4r = -5 Add '25' to each side of the equation. -25 + 25 + -4r = -5 + 25 Combine like terms: -25 + 25 = 0 0 + -4r = -5 + 25 -4r = -5 + 25 Combine like terms: -5 + 25 = 20 -4r = 20 Divide each side by '-4'. r = -5 Simplifying r = -5
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