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Simplifying -1(-8r + 1) + -5 = -1 + 6r Reorder the terms: -1(1 + -8r) + -5 = -1 + 6r (1 * -1 + -8r * -1) + -5 = -1 + 6r (-1 + 8r) + -5 = -1 + 6r Reorder the terms: -1 + -5 + 8r = -1 + 6r Combine like terms: -1 + -5 = -6 -6 + 8r = -1 + 6r Solving -6 + 8r = -1 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -6 + 8r + -6r = -1 + 6r + -6r Combine like terms: 8r + -6r = 2r -6 + 2r = -1 + 6r + -6r Combine like terms: 6r + -6r = 0 -6 + 2r = -1 + 0 -6 + 2r = -1 Add '6' to each side of the equation. -6 + 6 + 2r = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 2r = -1 + 6 2r = -1 + 6 Combine like terms: -1 + 6 = 5 2r = 5 Divide each side by '2'. r = 2.5 Simplifying r = 2.5
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