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Simplifying 9 + 2r + -3 = 8r + 18 + -4r Reorder the terms: 9 + -3 + 2r = 8r + 18 + -4r Combine like terms: 9 + -3 = 6 6 + 2r = 8r + 18 + -4r Reorder the terms: 6 + 2r = 18 + 8r + -4r Combine like terms: 8r + -4r = 4r 6 + 2r = 18 + 4r Solving 6 + 2r = 18 + 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 + 2r + -4r = 18 + 4r + -4r Combine like terms: 2r + -4r = -2r 6 + -2r = 18 + 4r + -4r Combine like terms: 4r + -4r = 0 6 + -2r = 18 + 0 6 + -2r = 18 Add '-6' to each side of the equation. 6 + -6 + -2r = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -2r = 18 + -6 -2r = 18 + -6 Combine like terms: 18 + -6 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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