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Simplifying -6(r + -6) + -8r = -27 + 7r Reorder the terms: -6(-6 + r) + -8r = -27 + 7r (-6 * -6 + r * -6) + -8r = -27 + 7r (36 + -6r) + -8r = -27 + 7r Combine like terms: -6r + -8r = -14r 36 + -14r = -27 + 7r Solving 36 + -14r = -27 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 36 + -14r + -7r = -27 + 7r + -7r Combine like terms: -14r + -7r = -21r 36 + -21r = -27 + 7r + -7r Combine like terms: 7r + -7r = 0 36 + -21r = -27 + 0 36 + -21r = -27 Add '-36' to each side of the equation. 36 + -36 + -21r = -27 + -36 Combine like terms: 36 + -36 = 0 0 + -21r = -27 + -36 -21r = -27 + -36 Combine like terms: -27 + -36 = -63 -21r = -63 Divide each side by '-21'. r = 3 Simplifying r = 3
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