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Simplifying 4r + -1(3 + 6r) = -8r + 9 4r + (3 * -1 + 6r * -1) = -8r + 9 4r + (-3 + -6r) = -8r + 9 Reorder the terms: -3 + 4r + -6r = -8r + 9 Combine like terms: 4r + -6r = -2r -3 + -2r = -8r + 9 Reorder the terms: -3 + -2r = 9 + -8r Solving -3 + -2r = 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. -3 + -2r + 8r = 9 + -8r + 8r Combine like terms: -2r + 8r = 6r -3 + 6r = 9 + -8r + 8r Combine like terms: -8r + 8r = 0 -3 + 6r = 9 + 0 -3 + 6r = 9 Add '3' to each side of the equation. -3 + 3 + 6r = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6r = 9 + 3 6r = 9 + 3 Combine like terms: 9 + 3 = 12 6r = 12 Divide each side by '6'. r = 2 Simplifying r = 2
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