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Simplifying 2r + 3(3r + -9) = 6r + 4 Reorder the terms: 2r + 3(-9 + 3r) = 6r + 4 2r + (-9 * 3 + 3r * 3) = 6r + 4 2r + (-27 + 9r) = 6r + 4 Reorder the terms: -27 + 2r + 9r = 6r + 4 Combine like terms: 2r + 9r = 11r -27 + 11r = 6r + 4 Reorder the terms: -27 + 11r = 4 + 6r Solving -27 + 11r = 4 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -27 + 11r + -6r = 4 + 6r + -6r Combine like terms: 11r + -6r = 5r -27 + 5r = 4 + 6r + -6r Combine like terms: 6r + -6r = 0 -27 + 5r = 4 + 0 -27 + 5r = 4 Add '27' to each side of the equation. -27 + 27 + 5r = 4 + 27 Combine like terms: -27 + 27 = 0 0 + 5r = 4 + 27 5r = 4 + 27 Combine like terms: 4 + 27 = 31 5r = 31 Divide each side by '5'. r = 6.2 Simplifying r = 6.2
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