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Simplifying -6(8r + 8) = 32 + -8r Reorder the terms: -6(8 + 8r) = 32 + -8r (8 * -6 + 8r * -6) = 32 + -8r (-48 + -48r) = 32 + -8r Solving -48 + -48r = 32 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -48 + -48r + 8r = 32 + -8r + 8r Combine like terms: -48r + 8r = -40r -48 + -40r = 32 + -8r + 8r Combine like terms: -8r + 8r = 0 -48 + -40r = 32 + 0 -48 + -40r = 32 Add '48' to each side of the equation. -48 + 48 + -40r = 32 + 48 Combine like terms: -48 + 48 = 0 0 + -40r = 32 + 48 -40r = 32 + 48 Combine like terms: 32 + 48 = 80 -40r = 80 Divide each side by '-40'. r = -2 Simplifying r = -2
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