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Simplifying -0.8(2r + 9) + 2.5r = 0 Reorder the terms: -0.8(9 + 2r) + 2.5r = 0 (9 * -0.8 + 2r * -0.8) + 2.5r = 0 (-7.2 + -1.6r) + 2.5r = 0 Combine like terms: -1.6r + 2.5r = 0.9r -7.2 + 0.9r = 0 Solving -7.2 + 0.9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7.2' to each side of the equation. -7.2 + 7.2 + 0.9r = 0 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 0.9r = 0 + 7.2 0.9r = 0 + 7.2 Combine like terms: 0 + 7.2 = 7.2 0.9r = 7.2 Divide each side by '0.9'. r = 8 Simplifying r = 8
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