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Simplifying 2.5r + -1(2 + -5r) = 2.6 + 6.1r 2.5r + (2 * -1 + -5r * -1) = 2.6 + 6.1r 2.5r + (-2 + 5r) = 2.6 + 6.1r Reorder the terms: -2 + 2.5r + 5r = 2.6 + 6.1r Combine like terms: 2.5r + 5r = 7.5r -2 + 7.5r = 2.6 + 6.1r Solving -2 + 7.5r = 2.6 + 6.1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6.1r' to each side of the equation. -2 + 7.5r + -6.1r = 2.6 + 6.1r + -6.1r Combine like terms: 7.5r + -6.1r = 1.4r -2 + 1.4r = 2.6 + 6.1r + -6.1r Combine like terms: 6.1r + -6.1r = 0.0 -2 + 1.4r = 2.6 + 0.0 -2 + 1.4r = 2.6 Add '2' to each side of the equation. -2 + 2 + 1.4r = 2.6 + 2 Combine like terms: -2 + 2 = 0 0 + 1.4r = 2.6 + 2 1.4r = 2.6 + 2 Combine like terms: 2.6 + 2 = 4.6 1.4r = 4.6 Divide each side by '1.4'. r = 3.285714286 Simplifying r = 3.285714286
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