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Simplifying -3(3.3 + 8.9r) = 6.1 + -24.7r (3.3 * -3 + 8.9r * -3) = 6.1 + -24.7r (-9.9 + -26.7r) = 6.1 + -24.7r Solving -9.9 + -26.7r = 6.1 + -24.7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24.7r' to each side of the equation. -9.9 + -26.7r + 24.7r = 6.1 + -24.7r + 24.7r Combine like terms: -26.7r + 24.7r = -2r -9.9 + -2r = 6.1 + -24.7r + 24.7r Combine like terms: -24.7r + 24.7r = 0.0 -9.9 + -2r = 6.1 + 0.0 -9.9 + -2r = 6.1 Add '9.9' to each side of the equation. -9.9 + 9.9 + -2r = 6.1 + 9.9 Combine like terms: -9.9 + 9.9 = 0.0 0.0 + -2r = 6.1 + 9.9 -2r = 6.1 + 9.9 Combine like terms: 6.1 + 9.9 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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