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Simplifying 12r + 34 = -6r + -1(-9) Reorder the terms: 34 + 12r = -6r + -1(-9) Multiply -1 * -9 34 + 12r = -6r + 9 Reorder the terms: 34 + 12r = 9 + -6r Solving 34 + 12r = 9 + -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. 34 + 12r + 6r = 9 + -6r + 6r Combine like terms: 12r + 6r = 18r 34 + 18r = 9 + -6r + 6r Combine like terms: -6r + 6r = 0 34 + 18r = 9 + 0 34 + 18r = 9 Add '-34' to each side of the equation. 34 + -34 + 18r = 9 + -34 Combine like terms: 34 + -34 = 0 0 + 18r = 9 + -34 18r = 9 + -34 Combine like terms: 9 + -34 = -25 18r = -25 Divide each side by '18'. r = -1.388888889 Simplifying r = -1.388888889
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