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Simplifying 6r + 5(10r + 6) = 11 + -5(1 + -11r) Reorder the terms: 6r + 5(6 + 10r) = 11 + -5(1 + -11r) 6r + (6 * 5 + 10r * 5) = 11 + -5(1 + -11r) 6r + (30 + 50r) = 11 + -5(1 + -11r) Reorder the terms: 30 + 6r + 50r = 11 + -5(1 + -11r) Combine like terms: 6r + 50r = 56r 30 + 56r = 11 + -5(1 + -11r) 30 + 56r = 11 + (1 * -5 + -11r * -5) 30 + 56r = 11 + (-5 + 55r) Combine like terms: 11 + -5 = 6 30 + 56r = 6 + 55r Solving 30 + 56r = 6 + 55r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-55r' to each side of the equation. 30 + 56r + -55r = 6 + 55r + -55r Combine like terms: 56r + -55r = 1r 30 + 1r = 6 + 55r + -55r Combine like terms: 55r + -55r = 0 30 + 1r = 6 + 0 30 + 1r = 6 Add '-30' to each side of the equation. 30 + -30 + 1r = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 1r = 6 + -30 1r = 6 + -30 Combine like terms: 6 + -30 = -24 1r = -24 Divide each side by '1'. r = -24 Simplifying r = -24
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