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Simplifying 9 + 14r + -5 = 8r + 76 + -6r Reorder the terms: 9 + -5 + 14r = 8r + 76 + -6r Combine like terms: 9 + -5 = 4 4 + 14r = 8r + 76 + -6r Reorder the terms: 4 + 14r = 76 + 8r + -6r Combine like terms: 8r + -6r = 2r 4 + 14r = 76 + 2r Solving 4 + 14r = 76 + 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. 4 + 14r + -2r = 76 + 2r + -2r Combine like terms: 14r + -2r = 12r 4 + 12r = 76 + 2r + -2r Combine like terms: 2r + -2r = 0 4 + 12r = 76 + 0 4 + 12r = 76 Add '-4' to each side of the equation. 4 + -4 + 12r = 76 + -4 Combine like terms: 4 + -4 = 0 0 + 12r = 76 + -4 12r = 76 + -4 Combine like terms: 76 + -4 = 72 12r = 72 Divide each side by '12'. r = 6 Simplifying r = 6
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