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Simplifying -34 + -8r = -2 + 8(1 + -6r) -34 + -8r = -2 + (1 * 8 + -6r * 8) -34 + -8r = -2 + (8 + -48r) Combine like terms: -2 + 8 = 6 -34 + -8r = 6 + -48r Solving -34 + -8r = 6 + -48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48r' to each side of the equation. -34 + -8r + 48r = 6 + -48r + 48r Combine like terms: -8r + 48r = 40r -34 + 40r = 6 + -48r + 48r Combine like terms: -48r + 48r = 0 -34 + 40r = 6 + 0 -34 + 40r = 6 Add '34' to each side of the equation. -34 + 34 + 40r = 6 + 34 Combine like terms: -34 + 34 = 0 0 + 40r = 6 + 34 40r = 6 + 34 Combine like terms: 6 + 34 = 40 40r = 40 Divide each side by '40'. r = 1 Simplifying r = 1
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