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Simplifying -27 + 8r = -7(-2 + -7r) -27 + 8r = (-2 * -7 + -7r * -7) -27 + 8r = (14 + 49r) Solving -27 + 8r = 14 + 49r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-49r' to each side of the equation. -27 + 8r + -49r = 14 + 49r + -49r Combine like terms: 8r + -49r = -41r -27 + -41r = 14 + 49r + -49r Combine like terms: 49r + -49r = 0 -27 + -41r = 14 + 0 -27 + -41r = 14 Add '27' to each side of the equation. -27 + 27 + -41r = 14 + 27 Combine like terms: -27 + 27 = 0 0 + -41r = 14 + 27 -41r = 14 + 27 Combine like terms: 14 + 27 = 41 -41r = 41 Divide each side by '-41'. r = -1 Simplifying r = -1
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