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Simplifying 4 + 4r + -1 = 8r + 5 + -2r Reorder the terms: 4 + -1 + 4r = 8r + 5 + -2r Combine like terms: 4 + -1 = 3 3 + 4r = 8r + 5 + -2r Reorder the terms: 3 + 4r = 5 + 8r + -2r Combine like terms: 8r + -2r = 6r 3 + 4r = 5 + 6r Solving 3 + 4r = 5 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 3 + 4r + -6r = 5 + 6r + -6r Combine like terms: 4r + -6r = -2r 3 + -2r = 5 + 6r + -6r Combine like terms: 6r + -6r = 0 3 + -2r = 5 + 0 3 + -2r = 5 Add '-3' to each side of the equation. 3 + -3 + -2r = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = 5 + -3 -2r = 5 + -3 Combine like terms: 5 + -3 = 2 -2r = 2 Divide each side by '-2'. r = -1 Simplifying r = -1
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