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Simplifying 10r + 12 + 11r = 3r + -12 + -12r Reorder the terms: 12 + 10r + 11r = 3r + -12 + -12r Combine like terms: 10r + 11r = 21r 12 + 21r = 3r + -12 + -12r Reorder the terms: 12 + 21r = -12 + 3r + -12r Combine like terms: 3r + -12r = -9r 12 + 21r = -12 + -9r Solving 12 + 21r = -12 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. 12 + 21r + 9r = -12 + -9r + 9r Combine like terms: 21r + 9r = 30r 12 + 30r = -12 + -9r + 9r Combine like terms: -9r + 9r = 0 12 + 30r = -12 + 0 12 + 30r = -12 Add '-12' to each side of the equation. 12 + -12 + 30r = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 30r = -12 + -12 30r = -12 + -12 Combine like terms: -12 + -12 = -24 30r = -24 Divide each side by '30'. r = -0.8 Simplifying r = -0.8
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