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Simplifying 3.6r + -5(2.1 + -1r) + 6(r + 6.1) = 0 3.6r + (2.1 * -5 + -1r * -5) + 6(r + 6.1) = 0 3.6r + (-10.5 + 5r) + 6(r + 6.1) = 0 Reorder the terms: 3.6r + -10.5 + 5r + 6(6.1 + r) = 0 3.6r + -10.5 + 5r + (6.1 * 6 + r * 6) = 0 3.6r + -10.5 + 5r + (36.6 + 6r) = 0 Reorder the terms: -10.5 + 36.6 + 3.6r + 5r + 6r = 0 Combine like terms: -10.5 + 36.6 = 26.1 26.1 + 3.6r + 5r + 6r = 0 Combine like terms: 3.6r + 5r = 8.6r 26.1 + 8.6r + 6r = 0 Combine like terms: 8.6r + 6r = 14.6r 26.1 + 14.6r = 0 Solving 26.1 + 14.6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-26.1' to each side of the equation. 26.1 + -26.1 + 14.6r = 0 + -26.1 Combine like terms: 26.1 + -26.1 = 0.0 0.0 + 14.6r = 0 + -26.1 14.6r = 0 + -26.1 Combine like terms: 0 + -26.1 = -26.1 14.6r = -26.1 Divide each side by '14.6'. r = -1.787671233 Simplifying r = -1.787671233
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