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Simplifying 8.2r + -6 = 7.4r + 8 Reorder the terms: -6 + 8.2r = 7.4r + 8 Reorder the terms: -6 + 8.2r = 8 + 7.4r Solving -6 + 8.2r = 8 + 7.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.4r' to each side of the equation. -6 + 8.2r + -7.4r = 8 + 7.4r + -7.4r Combine like terms: 8.2r + -7.4r = 0.8r -6 + 0.8r = 8 + 7.4r + -7.4r Combine like terms: 7.4r + -7.4r = 0.0 -6 + 0.8r = 8 + 0.0 -6 + 0.8r = 8 Add '6' to each side of the equation. -6 + 6 + 0.8r = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 0.8r = 8 + 6 0.8r = 8 + 6 Combine like terms: 8 + 6 = 14 0.8r = 14 Divide each side by '0.8'. r = 17.5 Simplifying r = 17.5
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