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Simplifying -3(2r + 1) + -11(r + -5) = 0 Reorder the terms: -3(1 + 2r) + -11(r + -5) = 0 (1 * -3 + 2r * -3) + -11(r + -5) = 0 (-3 + -6r) + -11(r + -5) = 0 Reorder the terms: -3 + -6r + -11(-5 + r) = 0 -3 + -6r + (-5 * -11 + r * -11) = 0 -3 + -6r + (55 + -11r) = 0 Reorder the terms: -3 + 55 + -6r + -11r = 0 Combine like terms: -3 + 55 = 52 52 + -6r + -11r = 0 Combine like terms: -6r + -11r = -17r 52 + -17r = 0 Solving 52 + -17r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -17r = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -17r = 0 + -52 -17r = 0 + -52 Combine like terms: 0 + -52 = -52 -17r = -52 Divide each side by '-17'. r = 3.058823529 Simplifying r = 3.058823529
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