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