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Simplifying 8 + 6r + -4 = 9r + 12 + -2r Reorder the terms: 8 + -4 + 6r = 9r + 12 + -2r Combine like terms: 8 + -4 = 4 4 + 6r = 9r + 12 + -2r Reorder the terms: 4 + 6r = 12 + 9r + -2r Combine like terms: 9r + -2r = 7r 4 + 6r = 12 + 7r Solving 4 + 6r = 12 + 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. 4 + 6r + -7r = 12 + 7r + -7r Combine like terms: 6r + -7r = -1r 4 + -1r = 12 + 7r + -7r Combine like terms: 7r + -7r = 0 4 + -1r = 12 + 0 4 + -1r = 12 Add '-4' to each side of the equation. 4 + -4 + -1r = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 12 + -4 -1r = 12 + -4 Combine like terms: 12 + -4 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8
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