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Simplifying -3r + 1 = 1 + 4r + 4 + -8r Reorder the terms: 1 + -3r = 1 + 4r + 4 + -8r Reorder the terms: 1 + -3r = 1 + 4 + 4r + -8r Combine like terms: 1 + 4 = 5 1 + -3r = 5 + 4r + -8r Combine like terms: 4r + -8r = -4r 1 + -3r = 5 + -4r Solving 1 + -3r = 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 + -3r + 4r = 5 + -4r + 4r Combine like terms: -3r + 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 = 4 1r = 4 Divide each side by '1'. r = 4 Simplifying r = 4
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