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Simplifying -4r + -3r + 6 = 2 + -8r + 2 Reorder the terms: 6 + -4r + -3r = 2 + -8r + 2 Combine like terms: -4r + -3r = -7r 6 + -7r = 2 + -8r + 2 Reorder the terms: 6 + -7r = 2 + 2 + -8r Combine like terms: 2 + 2 = 4 6 + -7r = 4 + -8r Solving 6 + -7r = 4 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 6 + -7r + 8r = 4 + -8r + 8r Combine like terms: -7r + 8r = 1r 6 + 1r = 4 + -8r + 8r Combine like terms: -8r + 8r = 0 6 + 1r = 4 + 0 6 + 1r = 4 Add '-6' to each side of the equation. 6 + -6 + 1r = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 1r = 4 + -6 1r = 4 + -6 Combine like terms: 4 + -6 = -2 1r = -2 Divide each side by '1'. r = -2 Simplifying r = -2
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