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Simplifying -7r + -6 = 2(6 + -5r) Reorder the terms: -6 + -7r = 2(6 + -5r) -6 + -7r = (6 * 2 + -5r * 2) -6 + -7r = (12 + -10r) Solving -6 + -7r = 12 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -6 + -7r + 10r = 12 + -10r + 10r Combine like terms: -7r + 10r = 3r -6 + 3r = 12 + -10r + 10r Combine like terms: -10r + 10r = 0 -6 + 3r = 12 + 0 -6 + 3r = 12 Add '6' to each side of the equation. -6 + 6 + 3r = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3r = 12 + 6 3r = 12 + 6 Combine like terms: 12 + 6 = 18 3r = 18 Divide each side by '3'. r = 6 Simplifying r = 6
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