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Simplifying -34 + -6r = -9(3r + 5) Reorder the terms: -34 + -6r = -9(5 + 3r) -34 + -6r = (5 * -9 + 3r * -9) -34 + -6r = (-45 + -27r) Solving -34 + -6r = -45 + -27r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '27r' to each side of the equation. -34 + -6r + 27r = -45 + -27r + 27r Combine like terms: -6r + 27r = 21r -34 + 21r = -45 + -27r + 27r Combine like terms: -27r + 27r = 0 -34 + 21r = -45 + 0 -34 + 21r = -45 Add '34' to each side of the equation. -34 + 34 + 21r = -45 + 34 Combine like terms: -34 + 34 = 0 0 + 21r = -45 + 34 21r = -45 + 34 Combine like terms: -45 + 34 = -11 21r = -11 Divide each side by '21'. r = -0.5238095238 Simplifying r = -0.5238095238
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