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Simplifying -4r + 1 = 5 + 3r + -5r Reorder the terms: 1 + -4r = 5 + 3r + -5r Combine like terms: 3r + -5r = -2r 1 + -4r = 5 + -2r Solving 1 + -4r = 5 + -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 = 5 + -2r + 2r Combine like terms: -4r + 2r = -2r 1 + -2r = 5 + -2r + 2r Combine like terms: -2r + 2r = 0 1 + -2r = 5 + 0 1 + -2r = 5 Add '-1' to each side of the equation. 1 + -1 + -2r = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -2r = 5 + -1 -2r = 5 + -1 Combine like terms: 5 + -1 = 4 -2r = 4 Divide each side by '-2'. r = -2 Simplifying r = -2
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