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