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Simplifying 7 + 19r + -6 = 4r + 86 + -2r Reorder the terms: 7 + -6 + 19r = 4r + 86 + -2r Combine like terms: 7 + -6 = 1 1 + 19r = 4r + 86 + -2r Reorder the terms: 1 + 19r = 86 + 4r + -2r Combine like terms: 4r + -2r = 2r 1 + 19r = 86 + 2r Solving 1 + 19r = 86 + 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 + 19r + -2r = 86 + 2r + -2r Combine like terms: 19r + -2r = 17r 1 + 17r = 86 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 17r = 86 + 0 1 + 17r = 86 Add '-1' to each side of the equation. 1 + -1 + 17r = 86 + -1 Combine like terms: 1 + -1 = 0 0 + 17r = 86 + -1 17r = 86 + -1 Combine like terms: 86 + -1 = 85 17r = 85 Divide each side by '17'. r = 5 Simplifying r = 5
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