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Simplifying 7(r + -8) + -1r = -14 + -8r Reorder the terms: 7(-8 + r) + -1r = -14 + -8r (-8 * 7 + r * 7) + -1r = -14 + -8r (-56 + 7r) + -1r = -14 + -8r Combine like terms: 7r + -1r = 6r -56 + 6r = -14 + -8r Solving -56 + 6r = -14 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -56 + 6r + 8r = -14 + -8r + 8r Combine like terms: 6r + 8r = 14r -56 + 14r = -14 + -8r + 8r Combine like terms: -8r + 8r = 0 -56 + 14r = -14 + 0 -56 + 14r = -14 Add '56' to each side of the equation. -56 + 56 + 14r = -14 + 56 Combine like terms: -56 + 56 = 0 0 + 14r = -14 + 56 14r = -14 + 56 Combine like terms: -14 + 56 = 42 14r = 42 Divide each side by '14'. r = 3 Simplifying r = 3
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