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Simplifying 4r + 1 = -2r + 8 Reorder the terms: 1 + 4r = -2r + 8 Reorder the terms: 1 + 4r = 8 + -2r Solving 1 + 4r = 8 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 1 + 4r + 2r = 8 + -2r + 2r Combine like terms: 4r + 2r = 6r 1 + 6r = 8 + -2r + 2r Combine like terms: -2r + 2r = 0 1 + 6r = 8 + 0 1 + 6r = 8 Add '-1' to each side of the equation. 1 + -1 + 6r = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 6r = 8 + -1 6r = 8 + -1 Combine like terms: 8 + -1 = 7 6r = 7 Divide each side by '6'. r = 1.166666667 Simplifying r = 1.166666667
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