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Simplifying 2(-3r + 6) = 15 + -5r Reorder the terms: 2(6 + -3r) = 15 + -5r (6 * 2 + -3r * 2) = 15 + -5r (12 + -6r) = 15 + -5r Solving 12 + -6r = 15 + -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 + -6r + 5r = 15 + -5r + 5r Combine like terms: -6r + 5r = -1r 12 + -1r = 15 + -5r + 5r Combine like terms: -5r + 5r = 0 12 + -1r = 15 + 0 12 + -1r = 15 Add '-12' to each side of the equation. 12 + -12 + -1r = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = 15 + -12 -1r = 15 + -12 Combine like terms: 15 + -12 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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