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Simplifying 9.41 + -3.3r + -11.17 = 0.13 + 15.6r Reorder the terms: 9.41 + -11.17 + -3.3r = 0.13 + 15.6r Combine like terms: 9.41 + -11.17 = -1.76 -1.76 + -3.3r = 0.13 + 15.6r Solving -1.76 + -3.3r = 0.13 + 15.6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15.6r' to each side of the equation. -1.76 + -3.3r + -15.6r = 0.13 + 15.6r + -15.6r Combine like terms: -3.3r + -15.6r = -18.9r -1.76 + -18.9r = 0.13 + 15.6r + -15.6r Combine like terms: 15.6r + -15.6r = 0.0 -1.76 + -18.9r = 0.13 + 0.0 -1.76 + -18.9r = 0.13 Add '1.76' to each side of the equation. -1.76 + 1.76 + -18.9r = 0.13 + 1.76 Combine like terms: -1.76 + 1.76 = 0.00 0.00 + -18.9r = 0.13 + 1.76 -18.9r = 0.13 + 1.76 Combine like terms: 0.13 + 1.76 = 1.89 -18.9r = 1.89 Divide each side by '-18.9'. r = -0.1 Simplifying r = -0.1
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