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Simplifying -9(1 + r) + -4 = -2 + 2r (1 * -9 + r * -9) + -4 = -2 + 2r (-9 + -9r) + -4 = -2 + 2r Reorder the terms: -9 + -4 + -9r = -2 + 2r Combine like terms: -9 + -4 = -13 -13 + -9r = -2 + 2r Solving -13 + -9r = -2 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -13 + -9r + -2r = -2 + 2r + -2r Combine like terms: -9r + -2r = -11r -13 + -11r = -2 + 2r + -2r Combine like terms: 2r + -2r = 0 -13 + -11r = -2 + 0 -13 + -11r = -2 Add '13' to each side of the equation. -13 + 13 + -11r = -2 + 13 Combine like terms: -13 + 13 = 0 0 + -11r = -2 + 13 -11r = -2 + 13 Combine like terms: -2 + 13 = 11 -11r = 11 Divide each side by '-11'. r = -1 Simplifying r = -1
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