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Simplifying 7r + 6 = 4r + -9 Reorder the terms: 6 + 7r = 4r + -9 Reorder the terms: 6 + 7r = -9 + 4r Solving 6 + 7r = -9 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 6 + 7r + -4r = -9 + 4r + -4r Combine like terms: 7r + -4r = 3r 6 + 3r = -9 + 4r + -4r Combine like terms: 4r + -4r = 0 6 + 3r = -9 + 0 6 + 3r = -9 Add '-6' to each side of the equation. 6 + -6 + 3r = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3r = -9 + -6 3r = -9 + -6 Combine like terms: -9 + -6 = -15 3r = -15 Divide each side by '3'. r = -5 Simplifying r = -5
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