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Simplifying 4r + -3r + -1 = 2r + -8 Reorder the terms: -1 + 4r + -3r = 2r + -8 Combine like terms: 4r + -3r = 1r -1 + 1r = 2r + -8 Reorder the terms: -1 + 1r = -8 + 2r Solving -1 + 1r = -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 + 1r + -2r = -8 + 2r + -2r Combine like terms: 1r + -2r = -1r -1 + -1r = -8 + 2r + -2r Combine like terms: 2r + -2r = 0 -1 + -1r = -8 + 0 -1 + -1r = -8 Add '1' to each side of the equation. -1 + 1 + -1r = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -1r = -8 + 1 -1r = -8 + 1 Combine like terms: -8 + 1 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7
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