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Simplifying 1 + -5r = 4r + -8r + -5 Reorder the terms: 1 + -5r = -5 + 4r + -8r Combine like terms: 4r + -8r = -4r 1 + -5r = -5 + -4r Solving 1 + -5r = -5 + -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. 1 + -5r + 4r = -5 + -4r + 4r Combine like terms: -5r + 4r = -1r 1 + -1r = -5 + -4r + 4r Combine like terms: -4r + 4r = 0 1 + -1r = -5 + 0 1 + -1r = -5 Add '-1' to each side of the equation. 1 + -1 + -1r = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = -5 + -1 -1r = -5 + -1 Combine like terms: -5 + -1 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6
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