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Simplifying 1.5(9 + -6r) = -4.5r (9 * 1.5 + -6r * 1.5) = -4.5r (13.5 + -9r) = -4.5r Solving 13.5 + -9r = -4.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4.5r' to each side of the equation. 13.5 + -9r + 4.5r = -4.5r + 4.5r Combine like terms: -9r + 4.5r = -4.5r 13.5 + -4.5r = -4.5r + 4.5r Combine like terms: -4.5r + 4.5r = 0.0 13.5 + -4.5r = 0.0 Add '-13.5' to each side of the equation. 13.5 + -13.5 + -4.5r = 0.0 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + -4.5r = 0.0 + -13.5 -4.5r = 0.0 + -13.5 Combine like terms: 0.0 + -13.5 = -13.5 -4.5r = -13.5 Divide each side by '-4.5'. r = 3 Simplifying r = 3
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