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Simplifying 7(2 + -1r) = 3(r + 8) (2 * 7 + -1r * 7) = 3(r + 8) (14 + -7r) = 3(r + 8) Reorder the terms: 14 + -7r = 3(8 + r) 14 + -7r = (8 * 3 + r * 3) 14 + -7r = (24 + 3r) Solving 14 + -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. 14 + -7r + -3r = 24 + 3r + -3r Combine like terms: -7r + -3r = -10r 14 + -10r = 24 + 3r + -3r Combine like terms: 3r + -3r = 0 14 + -10r = 24 + 0 14 + -10r = 24 Add '-14' to each side of the equation. 14 + -14 + -10r = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -10r = 24 + -14 -10r = 24 + -14 Combine like terms: 24 + -14 = 10 -10r = 10 Divide each side by '-10'. r = -1 Simplifying r = -1
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