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Simplifying 5r + -9 = -7r + 6 Reorder the terms: -9 + 5r = -7r + 6 Reorder the terms: -9 + 5r = 6 + -7r Solving -9 + 5r = 6 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -9 + 5r + 7r = 6 + -7r + 7r Combine like terms: 5r + 7r = 12r -9 + 12r = 6 + -7r + 7r Combine like terms: -7r + 7r = 0 -9 + 12r = 6 + 0 -9 + 12r = 6 Add '9' to each side of the equation. -9 + 9 + 12r = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 12r = 6 + 9 12r = 6 + 9 Combine like terms: 6 + 9 = 15 12r = 15 Divide each side by '12'. r = 1.25 Simplifying r = 1.25
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