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Simplifying 123 = 6r + -5(3 + 8r) 123 = 6r + (3 * -5 + 8r * -5) 123 = 6r + (-15 + -40r) Reorder the terms: 123 = -15 + 6r + -40r Combine like terms: 6r + -40r = -34r 123 = -15 + -34r Solving 123 = -15 + -34r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '34r' to each side of the equation. 123 + 34r = -15 + -34r + 34r Combine like terms: -34r + 34r = 0 123 + 34r = -15 + 0 123 + 34r = -15 Add '-123' to each side of the equation. 123 + -123 + 34r = -15 + -123 Combine like terms: 123 + -123 = 0 0 + 34r = -15 + -123 34r = -15 + -123 Combine like terms: -15 + -123 = -138 34r = -138 Divide each side by '34'. r = -4.058823529 Simplifying r = -4.058823529
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