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Simplifying 5(r + -9) + -4 = -34 Reorder the terms: 5(-9 + r) + -4 = -34 (-9 * 5 + r * 5) + -4 = -34 (-45 + 5r) + -4 = -34 Reorder the terms: -45 + -4 + 5r = -34 Combine like terms: -45 + -4 = -49 -49 + 5r = -34 Solving -49 + 5r = -34 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 5r = -34 + 49 Combine like terms: -49 + 49 = 0 0 + 5r = -34 + 49 5r = -34 + 49 Combine like terms: -34 + 49 = 15 5r = 15 Divide each side by '5'. r = 3 Simplifying r = 3
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