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Simplifying 3(r + -9) = 8r + -27 Reorder the terms: 3(-9 + r) = 8r + -27 (-9 * 3 + r * 3) = 8r + -27 (-27 + 3r) = 8r + -27 Reorder the terms: -27 + 3r = -27 + 8r Add '27' to each side of the equation. -27 + 27 + 3r = -27 + 27 + 8r Combine like terms: -27 + 27 = 0 0 + 3r = -27 + 27 + 8r 3r = -27 + 27 + 8r Combine like terms: -27 + 27 = 0 3r = 0 + 8r 3r = 8r Solving 3r = 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. 3r + -8r = 8r + -8r Combine like terms: 3r + -8r = -5r -5r = 8r + -8r Combine like terms: 8r + -8r = 0 -5r = 0 Divide each side by '-5'. r = 0 Simplifying r = 0
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