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Simplifying 7(2 + 3r) + -2r = 36 + 8r (2 * 7 + 3r * 7) + -2r = 36 + 8r (14 + 21r) + -2r = 36 + 8r Combine like terms: 21r + -2r = 19r 14 + 19r = 36 + 8r Solving 14 + 19r = 36 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 14 + 19r + -8r = 36 + 8r + -8r Combine like terms: 19r + -8r = 11r 14 + 11r = 36 + 8r + -8r Combine like terms: 8r + -8r = 0 14 + 11r = 36 + 0 14 + 11r = 36 Add '-14' to each side of the equation. 14 + -14 + 11r = 36 + -14 Combine like terms: 14 + -14 = 0 0 + 11r = 36 + -14 11r = 36 + -14 Combine like terms: 36 + -14 = 22 11r = 22 Divide each side by '11'. r = 2 Simplifying r = 2
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