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Simplifying 2.9(1 + 7.3r) + -5.4 = 5.4(5.2 + -7.1r) (1 * 2.9 + 7.3r * 2.9) + -5.4 = 5.4(5.2 + -7.1r) (2.9 + 21.17r) + -5.4 = 5.4(5.2 + -7.1r) Reorder the terms: 2.9 + -5.4 + 21.17r = 5.4(5.2 + -7.1r) Combine like terms: 2.9 + -5.4 = -2.5 -2.5 + 21.17r = 5.4(5.2 + -7.1r) -2.5 + 21.17r = (5.2 * 5.4 + -7.1r * 5.4) -2.5 + 21.17r = (28.08 + -38.34r) Solving -2.5 + 21.17r = 28.08 + -38.34r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '38.34r' to each side of the equation. -2.5 + 21.17r + 38.34r = 28.08 + -38.34r + 38.34r Combine like terms: 21.17r + 38.34r = 59.51r -2.5 + 59.51r = 28.08 + -38.34r + 38.34r Combine like terms: -38.34r + 38.34r = 0.00 -2.5 + 59.51r = 28.08 + 0.00 -2.5 + 59.51r = 28.08 Add '2.5' to each side of the equation. -2.5 + 2.5 + 59.51r = 28.08 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 59.51r = 28.08 + 2.5 59.51r = 28.08 + 2.5 Combine like terms: 28.08 + 2.5 = 30.58 59.51r = 30.58 Divide each side by '59.51'. r = 0.5138632163 Simplifying r = 0.5138632163
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