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Simplifying 27 + 3r = -2(4r + -8) Reorder the terms: 27 + 3r = -2(-8 + 4r) 27 + 3r = (-8 * -2 + 4r * -2) 27 + 3r = (16 + -8r) Solving 27 + 3r = 16 + -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. 27 + 3r + 8r = 16 + -8r + 8r Combine like terms: 3r + 8r = 11r 27 + 11r = 16 + -8r + 8r Combine like terms: -8r + 8r = 0 27 + 11r = 16 + 0 27 + 11r = 16 Add '-27' to each side of the equation. 27 + -27 + 11r = 16 + -27 Combine like terms: 27 + -27 = 0 0 + 11r = 16 + -27 11r = 16 + -27 Combine like terms: 16 + -27 = -11 11r = -11 Divide each side by '11'. r = -1 Simplifying r = -1
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