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Simplifying 27 + -7r = -1(1 + 3r) 27 + -7r = (1 * -1 + 3r * -1) 27 + -7r = (-1 + -3r) Solving 27 + -7r = -1 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 27 + -7r + 3r = -1 + -3r + 3r Combine like terms: -7r + 3r = -4r 27 + -4r = -1 + -3r + 3r Combine like terms: -3r + 3r = 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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