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Simplifying 34r + 34 = 8(5r + -1) Reorder the terms: 34 + 34r = 8(5r + -1) Reorder the terms: 34 + 34r = 8(-1 + 5r) 34 + 34r = (-1 * 8 + 5r * 8) 34 + 34r = (-8 + 40r) Solving 34 + 34r = -8 + 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. 34 + 34r + -40r = -8 + 40r + -40r Combine like terms: 34r + -40r = -6r 34 + -6r = -8 + 40r + -40r Combine like terms: 40r + -40r = 0 34 + -6r = -8 + 0 34 + -6r = -8 Add '-34' to each side of the equation. 34 + -34 + -6r = -8 + -34 Combine like terms: 34 + -34 = 0 0 + -6r = -8 + -34 -6r = -8 + -34 Combine like terms: -8 + -34 = -42 -6r = -42 Divide each side by '-6'. r = 7 Simplifying r = 7
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