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Simplifying 6(r + -1) + 5(r + 4) = 0 Reorder the terms: 6(-1 + r) + 5(r + 4) = 0 (-1 * 6 + r * 6) + 5(r + 4) = 0 (-6 + 6r) + 5(r + 4) = 0 Reorder the terms: -6 + 6r + 5(4 + r) = 0 -6 + 6r + (4 * 5 + r * 5) = 0 -6 + 6r + (20 + 5r) = 0 Reorder the terms: -6 + 20 + 6r + 5r = 0 Combine like terms: -6 + 20 = 14 14 + 6r + 5r = 0 Combine like terms: 6r + 5r = 11r 14 + 11r = 0 Solving 14 + 11r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 11r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 11r = 0 + -14 11r = 0 + -14 Combine like terms: 0 + -14 = -14 11r = -14 Divide each side by '11'. r = -1.272727273 Simplifying r = -1.272727273
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