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Simplifying -1(1.6 + 2.52r) + 6.86r = 6.548 + -7.3r (1.6 * -1 + 2.52r * -1) + 6.86r = 6.548 + -7.3r (-1.6 + -2.52r) + 6.86r = 6.548 + -7.3r Combine like terms: -2.52r + 6.86r = 4.34r -1.6 + 4.34r = 6.548 + -7.3r Solving -1.6 + 4.34r = 6.548 + -7.3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7.3r' to each side of the equation. -1.6 + 4.34r + 7.3r = 6.548 + -7.3r + 7.3r Combine like terms: 4.34r + 7.3r = 11.64r -1.6 + 11.64r = 6.548 + -7.3r + 7.3r Combine like terms: -7.3r + 7.3r = 0.0 -1.6 + 11.64r = 6.548 + 0.0 -1.6 + 11.64r = 6.548 Add '1.6' to each side of the equation. -1.6 + 1.6 + 11.64r = 6.548 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 11.64r = 6.548 + 1.6 11.64r = 6.548 + 1.6 Combine like terms: 6.548 + 1.6 = 8.148 11.64r = 8.148 Divide each side by '11.64'. r = 0.7 Simplifying r = 0.7
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