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Simplifying -1(-8r + 1) = -1(-3 + -5r) + -6r Reorder the terms: -1(1 + -8r) = -1(-3 + -5r) + -6r (1 * -1 + -8r * -1) = -1(-3 + -5r) + -6r (-1 + 8r) = -1(-3 + -5r) + -6r -1 + 8r = (-3 * -1 + -5r * -1) + -6r -1 + 8r = (3 + 5r) + -6r Combine like terms: 5r + -6r = -1r -1 + 8r = 3 + -1r Solving -1 + 8r = 3 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -1 + 8r + r = 3 + -1r + r Combine like terms: 8r + r = 9r -1 + 9r = 3 + -1r + r Combine like terms: -1r + r = 0 -1 + 9r = 3 + 0 -1 + 9r = 3 Add '1' to each side of the equation. -1 + 1 + 9r = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 9r = 3 + 1 9r = 3 + 1 Combine like terms: 3 + 1 = 4 9r = 4 Divide each side by '9'. r = 0.4444444444 Simplifying r = 0.4444444444
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