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Simplifying -4(-6 + -6r) + 8r = -8(r + -8) (-6 * -4 + -6r * -4) + 8r = -8(r + -8) (24 + 24r) + 8r = -8(r + -8) Combine like terms: 24r + 8r = 32r 24 + 32r = -8(r + -8) Reorder the terms: 24 + 32r = -8(-8 + r) 24 + 32r = (-8 * -8 + r * -8) 24 + 32r = (64 + -8r) Solving 24 + 32r = 64 + -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. 24 + 32r + 8r = 64 + -8r + 8r Combine like terms: 32r + 8r = 40r 24 + 40r = 64 + -8r + 8r Combine like terms: -8r + 8r = 0 24 + 40r = 64 + 0 24 + 40r = 64 Add '-24' to each side of the equation. 24 + -24 + 40r = 64 + -24 Combine like terms: 24 + -24 = 0 0 + 40r = 64 + -24 40r = 64 + -24 Combine like terms: 64 + -24 = 40 40r = 40 Divide each side by '40'. r = 1 Simplifying r = 1
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