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Simplifying 3 + -3(3 + -1r) = 8 + r 3 + (3 * -3 + -1r * -3) = 8 + r 3 + (-9 + 3r) = 8 + r Combine like terms: 3 + -9 = -6 -6 + 3r = 8 + r Solving -6 + 3r = 8 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -6 + 3r + -1r = 8 + r + -1r Combine like terms: 3r + -1r = 2r -6 + 2r = 8 + r + -1r Combine like terms: r + -1r = 0 -6 + 2r = 8 + 0 -6 + 2r = 8 Add '6' to each side of the equation. -6 + 6 + 2r = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2r = 8 + 6 2r = 8 + 6 Combine like terms: 8 + 6 = 14 2r = 14 Divide each side by '2'. r = 7 Simplifying r = 7
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