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Simplifying 2 + -7(2 + -1r) = 3(r + 8) 2 + (2 * -7 + -1r * -7) = 3(r + 8) 2 + (-14 + 7r) = 3(r + 8) Combine like terms: 2 + -14 = -12 -12 + 7r = 3(r + 8) Reorder the terms: -12 + 7r = 3(8 + r) -12 + 7r = (8 * 3 + r * 3) -12 + 7r = (24 + 3r) Solving -12 + 7r = 24 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -12 + 7r + -3r = 24 + 3r + -3r Combine like terms: 7r + -3r = 4r -12 + 4r = 24 + 3r + -3r Combine like terms: 3r + -3r = 0 -12 + 4r = 24 + 0 -12 + 4r = 24 Add '12' to each side of the equation. -12 + 12 + 4r = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 4r = 24 + 12 4r = 24 + 12 Combine like terms: 24 + 12 = 36 4r = 36 Divide each side by '4'. r = 9 Simplifying r = 9
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