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Simplifying -1(1 + 4r) = 9 + -6r (1 * -1 + 4r * -1) = 9 + -6r (-1 + -4r) = 9 + -6r Solving -1 + -4r = 9 + -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. -1 + -4r + 6r = 9 + -6r + 6r Combine like terms: -4r + 6r = 2r -1 + 2r = 9 + -6r + 6r Combine like terms: -6r + 6r = 0 -1 + 2r = 9 + 0 -1 + 2r = 9 Add '1' to each side of the equation. -1 + 1 + 2r = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 2r = 9 + 1 2r = 9 + 1 Combine like terms: 9 + 1 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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