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Simplifying -84 = 5(4 + -1r) + -8r -84 = (4 * 5 + -1r * 5) + -8r -84 = (20 + -5r) + -8r Combine like terms: -5r + -8r = -13r -84 = 20 + -13r Solving -84 = 20 + -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. -84 + 13r = 20 + -13r + 13r Combine like terms: -13r + 13r = 0 -84 + 13r = 20 + 0 -84 + 13r = 20 Add '84' to each side of the equation. -84 + 84 + 13r = 20 + 84 Combine like terms: -84 + 84 = 0 0 + 13r = 20 + 84 13r = 20 + 84 Combine like terms: 20 + 84 = 104 13r = 104 Divide each side by '13'. r = 8 Simplifying r = 8
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