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Simplifying -8r + 12 = -5(r + -6) Reorder the terms: 12 + -8r = -5(r + -6) Reorder the terms: 12 + -8r = -5(-6 + r) 12 + -8r = (-6 * -5 + r * -5) 12 + -8r = (30 + -5r) Solving 12 + -8r = 30 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 12 + -8r + 5r = 30 + -5r + 5r Combine like terms: -8r + 5r = -3r 12 + -3r = 30 + -5r + 5r Combine like terms: -5r + 5r = 0 12 + -3r = 30 + 0 12 + -3r = 30 Add '-12' to each side of the equation. 12 + -12 + -3r = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -3r = 30 + -12 -3r = 30 + -12 Combine like terms: 30 + -12 = 18 -3r = 18 Divide each side by '-3'. r = -6 Simplifying r = -6
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