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Simplifying -1r + -1 = 14 + 1 + -4r + 7r Reorder the terms: -1 + -1r = 14 + 1 + -4r + 7r Combine like terms: 14 + 1 = 15 -1 + -1r = 15 + -4r + 7r Combine like terms: -4r + 7r = 3r -1 + -1r = 15 + 3r Solving -1 + -1r = 15 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -1 + -1r + -3r = 15 + 3r + -3r Combine like terms: -1r + -3r = -4r -1 + -4r = 15 + 3r + -3r Combine like terms: 3r + -3r = 0 -1 + -4r = 15 + 0 -1 + -4r = 15 Add '1' to each side of the equation. -1 + 1 + -4r = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -4r = 15 + 1 -4r = 15 + 1 Combine like terms: 15 + 1 = 16 -4r = 16 Divide each side by '-4'. r = -4 Simplifying r = -4
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