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Simplifying 27 + -2r = -1(1 + -2r) 27 + -2r = (1 * -1 + -2r * -1) 27 + -2r = (-1 + 2r) Solving 27 + -2r = -1 + 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. 27 + -2r + -2r = -1 + 2r + -2r Combine like terms: -2r + -2r = -4r 27 + -4r = -1 + 2r + -2r Combine like terms: 2r + -2r = 0 27 + -4r = -1 + 0 27 + -4r = -1 Add '-27' to each side of the equation. 27 + -27 + -4r = -1 + -27 Combine like terms: 27 + -27 = 0 0 + -4r = -1 + -27 -4r = -1 + -27 Combine like terms: -1 + -27 = -28 -4r = -28 Divide each side by '-4'. r = 7 Simplifying r = 7
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