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Simplifying 4r + 2 + 5r + -12 = 15 Reorder the terms: 2 + -12 + 4r + 5r = 15 Combine like terms: 2 + -12 = -10 -10 + 4r + 5r = 15 Combine like terms: 4r + 5r = 9r -10 + 9r = 15 Solving -10 + 9r = 15 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 9r = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 9r = 15 + 10 9r = 15 + 10 Combine like terms: 15 + 10 = 25 9r = 25 Divide each side by '9'. r = 2.777777778 Simplifying r = 2.777777778
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