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Simplifying 8(5r + 6) = 6r + 14 Reorder the terms: 8(6 + 5r) = 6r + 14 (6 * 8 + 5r * 8) = 6r + 14 (48 + 40r) = 6r + 14 Reorder the terms: 48 + 40r = 14 + 6r Solving 48 + 40r = 14 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 48 + 40r + -6r = 14 + 6r + -6r Combine like terms: 40r + -6r = 34r 48 + 34r = 14 + 6r + -6r Combine like terms: 6r + -6r = 0 48 + 34r = 14 + 0 48 + 34r = 14 Add '-48' to each side of the equation. 48 + -48 + 34r = 14 + -48 Combine like terms: 48 + -48 = 0 0 + 34r = 14 + -48 34r = 14 + -48 Combine like terms: 14 + -48 = -34 34r = -34 Divide each side by '34'. r = -1 Simplifying r = -1
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