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Simplifying -14 + 8 + r + 7 = 1 + 5r + -1r Reorder the terms: -14 + 8 + 7 + r = 1 + 5r + -1r Combine like terms: -14 + 8 = -6 -6 + 7 + r = 1 + 5r + -1r Combine like terms: -6 + 7 = 1 1 + r = 1 + 5r + -1r Combine like terms: 5r + -1r = 4r 1 + r = 1 + 4r Add '-1' to each side of the equation. 1 + -1 + r = 1 + -1 + 4r Combine like terms: 1 + -1 = 0 0 + r = 1 + -1 + 4r r = 1 + -1 + 4r Combine like terms: 1 + -1 = 0 r = 0 + 4r r = 4r Solving r = 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. r + -4r = 4r + -4r Combine like terms: r + -4r = -3r -3r = 4r + -4r Combine like terms: 4r + -4r = 0 -3r = 0 Divide each side by '-3'. r = 0 Simplifying r = 0
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