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Simplifying 25 + r = -5(2 + 8r) + 6r 25 + r = (2 * -5 + 8r * -5) + 6r 25 + r = (-10 + -40r) + 6r Combine like terms: -40r + 6r = -34r 25 + r = -10 + -34r Solving 25 + r = -10 + -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. 25 + r + 34r = -10 + -34r + 34r Combine like terms: r + 34r = 35r 25 + 35r = -10 + -34r + 34r Combine like terms: -34r + 34r = 0 25 + 35r = -10 + 0 25 + 35r = -10 Add '-25' to each side of the equation. 25 + -25 + 35r = -10 + -25 Combine like terms: 25 + -25 = 0 0 + 35r = -10 + -25 35r = -10 + -25 Combine like terms: -10 + -25 = -35 35r = -35 Divide each side by '35'. r = -1 Simplifying r = -1
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