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Simplifying -7(1 + r) = 11 + -1r (1 * -7 + r * -7) = 11 + -1r (-7 + -7r) = 11 + -1r Solving -7 + -7r = 11 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -7 + -7r + r = 11 + -1r + r Combine like terms: -7r + r = -6r -7 + -6r = 11 + -1r + r Combine like terms: -1r + r = 0 -7 + -6r = 11 + 0 -7 + -6r = 11 Add '7' to each side of the equation. -7 + 7 + -6r = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -6r = 11 + 7 -6r = 11 + 7 Combine like terms: 11 + 7 = 18 -6r = 18 Divide each side by '-6'. r = -3 Simplifying r = -3
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