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Simplifying 3r + 3 + -1[6 + -4r + -9 + -3r] = 2r + 10 + -4 Reorder the terms: 3r + 3 + -1[6 + -9 + -4r + -3r] = 2r + 10 + -4 Combine like terms: 6 + -9 = -3 3r + 3 + -1[-3 + -4r + -3r] = 2r + 10 + -4 Combine like terms: -4r + -3r = -7r 3r + 3 + -1[-3 + -7r] = 2r + 10 + -4 3r + 3 + [-3 * -1 + -7r * -1] = 2r + 10 + -4 3r + 3 + [3 + 7r] = 2r + 10 + -4 Reorder the terms: 3 + 3 + 3r + 7r = 2r + 10 + -4 Combine like terms: 3 + 3 = 6 6 + 3r + 7r = 2r + 10 + -4 Combine like terms: 3r + 7r = 10r 6 + 10r = 2r + 10 + -4 Reorder the terms: 6 + 10r = 10 + -4 + 2r Combine like terms: 10 + -4 = 6 6 + 10r = 6 + 2r Add '-6' to each side of the equation. 6 + -6 + 10r = 6 + -6 + 2r Combine like terms: 6 + -6 = 0 0 + 10r = 6 + -6 + 2r 10r = 6 + -6 + 2r Combine like terms: 6 + -6 = 0 10r = 0 + 2r 10r = 2r Solving 10r = 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. 10r + -2r = 2r + -2r Combine like terms: 10r + -2r = 8r 8r = 2r + -2r Combine like terms: 2r + -2r = 0 8r = 0 Divide each side by '8'. r = 0 Simplifying r = 0
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