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Simplifying 12r + 34 = -6 + -1(-9) Reorder the terms: 34 + 12r = -6 + -1(-9) Multiply -1 * -9 34 + 12r = -6 + 9 Combine like terms: -6 + 9 = 3 34 + 12r = 3 Solving 34 + 12r = 3 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 12r = 3 + -34 Combine like terms: 34 + -34 = 0 0 + 12r = 3 + -34 12r = 3 + -34 Combine like terms: 3 + -34 = -31 12r = -31 Divide each side by '12'. r = -2.583333333 Simplifying r = -2.583333333
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