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Simplifying 13.3r + -5.7 = 2(1.9r + -3.8) Reorder the terms: -5.7 + 13.3r = 2(1.9r + -3.8) Reorder the terms: -5.7 + 13.3r = 2(-3.8 + 1.9r) -5.7 + 13.3r = (-3.8 * 2 + 1.9r * 2) -5.7 + 13.3r = (-7.6 + 3.8r) Solving -5.7 + 13.3r = -7.6 + 3.8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.8r' to each side of the equation. -5.7 + 13.3r + -3.8r = -7.6 + 3.8r + -3.8r Combine like terms: 13.3r + -3.8r = 9.5r -5.7 + 9.5r = -7.6 + 3.8r + -3.8r Combine like terms: 3.8r + -3.8r = 0.0 -5.7 + 9.5r = -7.6 + 0.0 -5.7 + 9.5r = -7.6 Add '5.7' to each side of the equation. -5.7 + 5.7 + 9.5r = -7.6 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 9.5r = -7.6 + 5.7 9.5r = -7.6 + 5.7 Combine like terms: -7.6 + 5.7 = -1.9 9.5r = -1.9 Divide each side by '9.5'. r = -0.2 Simplifying r = -0.2
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