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Simplifying 2r + -12 = 2(6 + -5r) Reorder the terms: -12 + 2r = 2(6 + -5r) -12 + 2r = (6 * 2 + -5r * 2) -12 + 2r = (12 + -10r) Solving -12 + 2r = 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. -12 + 2r + 10r = 12 + -10r + 10r Combine like terms: 2r + 10r = 12r -12 + 12r = 12 + -10r + 10r Combine like terms: -10r + 10r = 0 -12 + 12r = 12 + 0 -12 + 12r = 12 Add '12' to each side of the equation. -12 + 12 + 12r = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 12r = 12 + 12 12r = 12 + 12 Combine like terms: 12 + 12 = 24 12r = 24 Divide each side by '12'. r = 2 Simplifying r = 2
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