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Simplifying 4.5(2r + -6) + -3r = 0 Reorder the terms: 4.5(-6 + 2r) + -3r = 0 (-6 * 4.5 + 2r * 4.5) + -3r = 0 (-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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