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Simplifying 1 + -5r + 8r = 1 + 4r + -8r Combine like terms: -5r + 8r = 3r 1 + 3r = 1 + 4r + -8r Combine like terms: 4r + -8r = -4r 1 + 3r = 1 + -4r Add '-1' to each side of the equation. 1 + -1 + 3r = 1 + -1 + -4r Combine like terms: 1 + -1 = 0 0 + 3r = 1 + -1 + -4r 3r = 1 + -1 + -4r Combine like terms: 1 + -1 = 0 3r = 0 + -4r 3r = -4r Solving 3r = -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. 3r + 4r = -4r + 4r Combine like terms: 3r + 4r = 7r 7r = -4r + 4r Combine like terms: -4r + 4r = 0 7r = 0 Divide each side by '7'. r = 0 Simplifying r = 0
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