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Simplifying -3r + -5 + 8 = -6r + -12 Reorder the terms: -5 + 8 + -3r = -6r + -12 Combine like terms: -5 + 8 = 3 3 + -3r = -6r + -12 Reorder the terms: 3 + -3r = -12 + -6r Solving 3 + -3r = -12 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 3 + -3r + 6r = -12 + -6r + 6r Combine like terms: -3r + 6r = 3r 3 + 3r = -12 + -6r + 6r Combine like terms: -6r + 6r = 0 3 + 3r = -12 + 0 3 + 3r = -12 Add '-3' to each side of the equation. 3 + -3 + 3r = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 3r = -12 + -3 3r = -12 + -3 Combine like terms: -12 + -3 = -15 3r = -15 Divide each side by '3'. r = -5 Simplifying r = -5
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