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Simplifying -6(-6r + 4) + 7r = 6(-4 + -8r) + 8r Reorder the terms: -6(4 + -6r) + 7r = 6(-4 + -8r) + 8r (4 * -6 + -6r * -6) + 7r = 6(-4 + -8r) + 8r (-24 + 36r) + 7r = 6(-4 + -8r) + 8r Combine like terms: 36r + 7r = 43r -24 + 43r = 6(-4 + -8r) + 8r -24 + 43r = (-4 * 6 + -8r * 6) + 8r -24 + 43r = (-24 + -48r) + 8r Combine like terms: -48r + 8r = -40r -24 + 43r = -24 + -40r Add '24' to each side of the equation. -24 + 24 + 43r = -24 + 24 + -40r Combine like terms: -24 + 24 = 0 0 + 43r = -24 + 24 + -40r 43r = -24 + 24 + -40r Combine like terms: -24 + 24 = 0 43r = 0 + -40r 43r = -40r Solving 43r = -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. 43r + 40r = -40r + 40r Combine like terms: 43r + 40r = 83r 83r = -40r + 40r Combine like terms: -40r + 40r = 0 83r = 0 Divide each side by '83'. r = 0 Simplifying r = 0
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