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Simplifying -14 + -1r = 8(r + 5) Reorder the terms: -14 + -1r = 8(5 + r) -14 + -1r = (5 * 8 + r * 8) -14 + -1r = (40 + 8r) Solving -14 + -1r = 40 + 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. -14 + -1r + -8r = 40 + 8r + -8r Combine like terms: -1r + -8r = -9r -14 + -9r = 40 + 8r + -8r Combine like terms: 8r + -8r = 0 -14 + -9r = 40 + 0 -14 + -9r = 40 Add '14' to each side of the equation. -14 + 14 + -9r = 40 + 14 Combine like terms: -14 + 14 = 0 0 + -9r = 40 + 14 -9r = 40 + 14 Combine like terms: 40 + 14 = 54 -9r = 54 Divide each side by '-9'. r = -6 Simplifying r = -6
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