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Simplifying 5r + 11 + -3r = 8 + 4r + -15 Reorder the terms: 11 + 5r + -3r = 8 + 4r + -15 Combine like terms: 5r + -3r = 2r 11 + 2r = 8 + 4r + -15 Reorder the terms: 11 + 2r = 8 + -15 + 4r Combine like terms: 8 + -15 = -7 11 + 2r = -7 + 4r Solving 11 + 2r = -7 + 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. 11 + 2r + -4r = -7 + 4r + -4r Combine like terms: 2r + -4r = -2r 11 + -2r = -7 + 4r + -4r Combine like terms: 4r + -4r = 0 11 + -2r = -7 + 0 11 + -2r = -7 Add '-11' to each side of the equation. 11 + -11 + -2r = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -2r = -7 + -11 -2r = -7 + -11 Combine like terms: -7 + -11 = -18 -2r = -18 Divide each side by '-2'. r = 9 Simplifying r = 9
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