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Simplifying -11r + -1(5 + -6r) = -1(6 + -3r) + 1 -11r + (5 * -1 + -6r * -1) = -1(6 + -3r) + 1 -11r + (-5 + 6r) = -1(6 + -3r) + 1 Reorder the terms: -5 + -11r + 6r = -1(6 + -3r) + 1 Combine like terms: -11r + 6r = -5r -5 + -5r = -1(6 + -3r) + 1 -5 + -5r = (6 * -1 + -3r * -1) + 1 -5 + -5r = (-6 + 3r) + 1 Reorder the terms: -5 + -5r = -6 + 1 + 3r Combine like terms: -6 + 1 = -5 -5 + -5r = -5 + 3r Add '5' to each side of the equation. -5 + 5 + -5r = -5 + 5 + 3r Combine like terms: -5 + 5 = 0 0 + -5r = -5 + 5 + 3r -5r = -5 + 5 + 3r Combine like terms: -5 + 5 = 0 -5r = 0 + 3r -5r = 3r Solving -5r = 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -5r + -3r = 3r + -3r Combine like terms: -5r + -3r = -8r -8r = 3r + -3r Combine like terms: 3r + -3r = 0 -8r = 0 Divide each side by '-8'. r = 0 Simplifying r = 0
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