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Simplifying 5(r + 1) + 4(-2 + 2r) = 0 Reorder the terms: 5(1 + r) + 4(-2 + 2r) = 0 (1 * 5 + r * 5) + 4(-2 + 2r) = 0 (5 + 5r) + 4(-2 + 2r) = 0 5 + 5r + (-2 * 4 + 2r * 4) = 0 5 + 5r + (-8 + 8r) = 0 Reorder the terms: 5 + -8 + 5r + 8r = 0 Combine like terms: 5 + -8 = -3 -3 + 5r + 8r = 0 Combine like terms: 5r + 8r = 13r -3 + 13r = 0 Solving -3 + 13r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 13r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 13r = 0 + 3 13r = 0 + 3 Combine like terms: 0 + 3 = 3 13r = 3 Divide each side by '13'. r = 0.2307692308 Simplifying r = 0.2307692308
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