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Simplifying 5 + -1(6r + 9) = -8r + 9 Reorder the terms: 5 + -1(9 + 6r) = -8r + 9 5 + (9 * -1 + 6r * -1) = -8r + 9 5 + (-9 + -6r) = -8r + 9 Combine like terms: 5 + -9 = -4 -4 + -6r = -8r + 9 Reorder the terms: -4 + -6r = 9 + -8r Solving -4 + -6r = 9 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -4 + -6r + 8r = 9 + -8r + 8r Combine like terms: -6r + 8r = 2r -4 + 2r = 9 + -8r + 8r Combine like terms: -8r + 8r = 0 -4 + 2r = 9 + 0 -4 + 2r = 9 Add '4' to each side of the equation. -4 + 4 + 2r = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 2r = 9 + 4 2r = 9 + 4 Combine like terms: 9 + 4 = 13 2r = 13 Divide each side by '2'. r = 6.5 Simplifying r = 6.5
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