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Simplifying -8r + 7r = -14 + r + 6 + -8 Combine like terms: -8r + 7r = -1r -1r = -14 + r + 6 + -8 Reorder the terms: -1r = -14 + 6 + -8 + r Combine like terms: -14 + 6 = -8 -1r = -8 + -8 + r Combine like terms: -8 + -8 = -16 -1r = -16 + r Solving -1r = -16 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -1r + -1r = -16 + r + -1r Combine like terms: -1r + -1r = -2r -2r = -16 + r + -1r Combine like terms: r + -1r = 0 -2r = -16 + 0 -2r = -16 Divide each side by '-2'. r = 8 Simplifying r = 8
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