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Simplifying (9r + -33) + -1(3r + -6) = 0 Reorder the terms: (-33 + 9r) + -1(3r + -6) = 0 Remove parenthesis around (-33 + 9r) -33 + 9r + -1(3r + -6) = 0 Reorder the terms: -33 + 9r + -1(-6 + 3r) = 0 -33 + 9r + (-6 * -1 + 3r * -1) = 0 -33 + 9r + (6 + -3r) = 0 Reorder the terms: -33 + 6 + 9r + -3r = 0 Combine like terms: -33 + 6 = -27 -27 + 9r + -3r = 0 Combine like terms: 9r + -3r = 6r -27 + 6r = 0 Solving -27 + 6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 6r = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 6r = 0 + 27 6r = 0 + 27 Combine like terms: 0 + 27 = 27 6r = 27 Divide each side by '6'. r = 4.5 Simplifying r = 4.5
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