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Simplifying 9 + 4r + -7 = 6r + 14 + -4r Reorder the terms: 9 + -7 + 4r = 6r + 14 + -4r Combine like terms: 9 + -7 = 2 2 + 4r = 6r + 14 + -4r Reorder the terms: 2 + 4r = 14 + 6r + -4r Combine like terms: 6r + -4r = 2r 2 + 4r = 14 + 2r Solving 2 + 4r = 14 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 2 + 4r + -2r = 14 + 2r + -2r Combine like terms: 4r + -2r = 2r 2 + 2r = 14 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 2r = 14 + 0 2 + 2r = 14 Add '-2' to each side of the equation. 2 + -2 + 2r = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 2r = 14 + -2 2r = 14 + -2 Combine like terms: 14 + -2 = 12 2r = 12 Divide each side by '2'. r = 6 Simplifying r = 6
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