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Simplifying 6.1r + 1.6 + -3.7r + -0.3 = r + -1.7 + 0.2r + -0.6 Reorder the terms: 1.6 + -0.3 + 6.1r + -3.7r = r + -1.7 + 0.2r + -0.6 Combine like terms: 1.6 + -0.3 = 1.3 1.3 + 6.1r + -3.7r = r + -1.7 + 0.2r + -0.6 Combine like terms: 6.1r + -3.7r = 2.4r 1.3 + 2.4r = r + -1.7 + 0.2r + -0.6 Reorder the terms: 1.3 + 2.4r = -1.7 + -0.6 + r + 0.2r Combine like terms: -1.7 + -0.6 = -2.3 1.3 + 2.4r = -2.3 + r + 0.2r Combine like terms: r + 0.2r = 1.2r 1.3 + 2.4r = -2.3 + 1.2r Solving 1.3 + 2.4r = -2.3 + 1.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.2r' to each side of the equation. 1.3 + 2.4r + -1.2r = -2.3 + 1.2r + -1.2r Combine like terms: 2.4r + -1.2r = 1.2r 1.3 + 1.2r = -2.3 + 1.2r + -1.2r Combine like terms: 1.2r + -1.2r = 0.0 1.3 + 1.2r = -2.3 + 0.0 1.3 + 1.2r = -2.3 Add '-1.3' to each side of the equation. 1.3 + -1.3 + 1.2r = -2.3 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 1.2r = -2.3 + -1.3 1.2r = -2.3 + -1.3 Combine like terms: -2.3 + -1.3 = -3.6 1.2r = -3.6 Divide each side by '1.2'. r = -3 Simplifying r = -3
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