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Simplifying -4 + -2r + 8 = 6 + -6 + -9r + 6r Reorder the terms: -4 + 8 + -2r = 6 + -6 + -9r + 6r Combine like terms: -4 + 8 = 4 4 + -2r = 6 + -6 + -9r + 6r Combine like terms: 6 + -6 = 0 4 + -2r = 0 + -9r + 6r 4 + -2r = -9r + 6r Combine like terms: -9r + 6r = -3r 4 + -2r = -3r Solving 4 + -2r = -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 4 + -2r + 3r = -3r + 3r Combine like terms: -2r + 3r = 1r 4 + 1r = -3r + 3r Combine like terms: -3r + 3r = 0 4 + 1r = 0 Add '-4' to each side of the equation. 4 + -4 + 1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1r = 0 + -4 1r = 0 + -4 Combine like terms: 0 + -4 = -4 1r = -4 Divide each side by '1'. r = -4 Simplifying r = -4
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