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Simplifying 7.6r + -0.2 = 5.2r + 1 Reorder the terms: -0.2 + 7.6r = 5.2r + 1 Reorder the terms: -0.2 + 7.6r = 1 + 5.2r Solving -0.2 + 7.6r = 1 + 5.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5.2r' to each side of the equation. -0.2 + 7.6r + -5.2r = 1 + 5.2r + -5.2r Combine like terms: 7.6r + -5.2r = 2.4r -0.2 + 2.4r = 1 + 5.2r + -5.2r Combine like terms: 5.2r + -5.2r = 0.0 -0.2 + 2.4r = 1 + 0.0 -0.2 + 2.4r = 1 Add '0.2' to each side of the equation. -0.2 + 0.2 + 2.4r = 1 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 2.4r = 1 + 0.2 2.4r = 1 + 0.2 Combine like terms: 1 + 0.2 = 1.2 2.4r = 1.2 Divide each side by '2.4'. r = 0.5 Simplifying r = 0.5
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