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Simplifying -11 + -11(3 + 9r) = 63 + 8r -11 + (3 * -11 + 9r * -11) = 63 + 8r -11 + (-33 + -99r) = 63 + 8r Combine like terms: -11 + -33 = -44 -44 + -99r = 63 + 8r Solving -44 + -99r = 63 + 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. -44 + -99r + -8r = 63 + 8r + -8r Combine like terms: -99r + -8r = -107r -44 + -107r = 63 + 8r + -8r Combine like terms: 8r + -8r = 0 -44 + -107r = 63 + 0 -44 + -107r = 63 Add '44' to each side of the equation. -44 + 44 + -107r = 63 + 44 Combine like terms: -44 + 44 = 0 0 + -107r = 63 + 44 -107r = 63 + 44 Combine like terms: 63 + 44 = 107 -107r = 107 Divide each side by '-107'. r = -1 Simplifying r = -1
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