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Simplifying 0.33(6r + 6) + -1(r + 9) = 0 Reorder the terms: 0.33(6 + 6r) + -1(r + 9) = 0 (6 * 0.33 + 6r * 0.33) + -1(r + 9) = 0 (1.98 + 1.98r) + -1(r + 9) = 0 Reorder the terms: 1.98 + 1.98r + -1(9 + r) = 0 1.98 + 1.98r + (9 * -1 + r * -1) = 0 1.98 + 1.98r + (-9 + -1r) = 0 Reorder the terms: 1.98 + -9 + 1.98r + -1r = 0 Combine like terms: 1.98 + -9 = -7.02 -7.02 + 1.98r + -1r = 0 Combine like terms: 1.98r + -1r = 0.98r -7.02 + 0.98r = 0 Solving -7.02 + 0.98r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7.02' to each side of the equation. -7.02 + 7.02 + 0.98r = 0 + 7.02 Combine like terms: -7.02 + 7.02 = 0.00 0.00 + 0.98r = 0 + 7.02 0.98r = 0 + 7.02 Combine like terms: 0 + 7.02 = 7.02 0.98r = 7.02 Divide each side by '0.98'. r = 7.163265306 Simplifying r = 7.163265306
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