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Simplifying -2(1 + 5r) = -7r + -26 (1 * -2 + 5r * -2) = -7r + -26 (-2 + -10r) = -7r + -26 Reorder the terms: -2 + -10r = -26 + -7r Solving -2 + -10r = -26 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -2 + -10r + 7r = -26 + -7r + 7r Combine like terms: -10r + 7r = -3r -2 + -3r = -26 + -7r + 7r Combine like terms: -7r + 7r = 0 -2 + -3r = -26 + 0 -2 + -3r = -26 Add '2' to each side of the equation. -2 + 2 + -3r = -26 + 2 Combine like terms: -2 + 2 = 0 0 + -3r = -26 + 2 -3r = -26 + 2 Combine like terms: -26 + 2 = -24 -3r = -24 Divide each side by '-3'. r = 8 Simplifying r = 8
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