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Simplifying 1.8r + 15 = 5.7r + -6 Reorder the terms: 15 + 1.8r = 5.7r + -6 Reorder the terms: 15 + 1.8r = -6 + 5.7r Solving 15 + 1.8r = -6 + 5.7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5.7r' to each side of the equation. 15 + 1.8r + -5.7r = -6 + 5.7r + -5.7r Combine like terms: 1.8r + -5.7r = -3.9r 15 + -3.9r = -6 + 5.7r + -5.7r Combine like terms: 5.7r + -5.7r = 0.0 15 + -3.9r = -6 + 0.0 15 + -3.9r = -6 Add '-15' to each side of the equation. 15 + -15 + -3.9r = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3.9r = -6 + -15 -3.9r = -6 + -15 Combine like terms: -6 + -15 = -21 -3.9r = -21 Divide each side by '-3.9'. r = 5.384615385 Simplifying r = 5.384615385
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