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Simplifying 12r + 3.4 = (-6r) + -1(-9) Reorder the terms: 3.4 + 12r = (-6r) + -1(-9) Multiply -1 * -9 3.4 + 12r = (-6r) + 9 Reorder the terms: 3.4 + 12r = 9 + (-6r) Solving 3.4 + 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. 3.4 + 12r + (6r) = 9 + (-6r) + (6r) Combine like terms: 12r + (6r) = 18r 3.4 + 18r = 9 + (-6r) + (6r) Combine like terms: (-6r) + (6r) = 0 3.4 + 18r = 9 + 0 3.4 + 18r = 9 Add '-3.4' to each side of the equation. 3.4 + -3.4 + 18r = 9 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + 18r = 9 + -3.4 18r = 9 + -3.4 Combine like terms: 9 + -3.4 = 5.6 18r = 5.6 Divide each side by '18'. r = 0.3111111111 Simplifying r = 0.3111111111
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