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Simplifying 1.5r + 9 = -4.5r + -9 Reorder the terms: 9 + 1.5r = -4.5r + -9 Reorder the terms: 9 + 1.5r = -9 + -4.5r Solving 9 + 1.5r = -9 + -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. 9 + 1.5r + 4.5r = -9 + -4.5r + 4.5r Combine like terms: 1.5r + 4.5r = 6r 9 + 6r = -9 + -4.5r + 4.5r Combine like terms: -4.5r + 4.5r = 0.0 9 + 6r = -9 + 0.0 9 + 6r = -9 Add '-9' to each side of the equation. 9 + -9 + 6r = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 6r = -9 + -9 6r = -9 + -9 Combine like terms: -9 + -9 = -18 6r = -18 Divide each side by '6'. r = -3 Simplifying r = -3
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