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Simplifying 2(7 + 8r) + -5r = 4(1 + 3r) + -3r (7 * 2 + 8r * 2) + -5r = 4(1 + 3r) + -3r (14 + 16r) + -5r = 4(1 + 3r) + -3r Combine like terms: 16r + -5r = 11r 14 + 11r = 4(1 + 3r) + -3r 14 + 11r = (1 * 4 + 3r * 4) + -3r 14 + 11r = (4 + 12r) + -3r Combine like terms: 12r + -3r = 9r 14 + 11r = 4 + 9r Solving 14 + 11r = 4 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 14 + 11r + -9r = 4 + 9r + -9r Combine like terms: 11r + -9r = 2r 14 + 2r = 4 + 9r + -9r Combine like terms: 9r + -9r = 0 14 + 2r = 4 + 0 14 + 2r = 4 Add '-14' to each side of the equation. 14 + -14 + 2r = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 2r = 4 + -14 2r = 4 + -14 Combine like terms: 4 + -14 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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