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Simplifying -5.1r = -4.1r + 5(-0.1r + 1.15) Reorder the terms: -5.1r = -4.1r + 5(1.15 + -0.1r) -5.1r = -4.1r + (1.15 * 5 + -0.1r * 5) -5.1r = -4.1r + (5.75 + -0.5r) Reorder the terms: -5.1r = 5.75 + -4.1r + -0.5r Combine like terms: -4.1r + -0.5r = -4.6r -5.1r = 5.75 + -4.6r Solving -5.1r = 5.75 + -4.6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4.6r' to each side of the equation. -5.1r + 4.6r = 5.75 + -4.6r + 4.6r Combine like terms: -5.1r + 4.6r = -0.5r -0.5r = 5.75 + -4.6r + 4.6r Combine like terms: -4.6r + 4.6r = 0.0 -0.5r = 5.75 + 0.0 -0.5r = 5.75 Divide each side by '-0.5'. r = -11.5 Simplifying r = -11.5
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