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Simplifying 3r + 3 + -1(6 + -6r + -9 + 3r) = 2r + 10 + -4 Reorder the terms: 3r + 3 + -1(6 + -9 + -6r + 3r) = 2r + 10 + -4 Combine like terms: 6 + -9 = -3 3r + 3 + -1(-3 + -6r + 3r) = 2r + 10 + -4 Combine like terms: -6r + 3r = -3r 3r + 3 + -1(-3 + -3r) = 2r + 10 + -4 3r + 3 + (-3 * -1 + -3r * -1) = 2r + 10 + -4 3r + 3 + (3 + 3r) = 2r + 10 + -4 Reorder the terms: 3 + 3 + 3r + 3r = 2r + 10 + -4 Combine like terms: 3 + 3 = 6 6 + 3r + 3r = 2r + 10 + -4 Combine like terms: 3r + 3r = 6r 6 + 6r = 2r + 10 + -4 Reorder the terms: 6 + 6r = 10 + -4 + 2r Combine like terms: 10 + -4 = 6 6 + 6r = 6 + 2r Add '-6' to each side of the equation. 6 + -6 + 6r = 6 + -6 + 2r Combine like terms: 6 + -6 = 0 0 + 6r = 6 + -6 + 2r 6r = 6 + -6 + 2r Combine like terms: 6 + -6 = 0 6r = 0 + 2r 6r = 2r Solving 6r = 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 6r + -2r = 2r + -2r Combine like terms: 6r + -2r = 4r 4r = 2r + -2r Combine like terms: 2r + -2r = 0 4r = 0 Divide each side by '4'. r = 0 Simplifying r = 0
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