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Simplifying -4 + -8(5r + 8) = 18 + 3r Reorder the terms: -4 + -8(8 + 5r) = 18 + 3r -4 + (8 * -8 + 5r * -8) = 18 + 3r -4 + (-64 + -40r) = 18 + 3r Combine like terms: -4 + -64 = -68 -68 + -40r = 18 + 3r Solving -68 + -40r = 18 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -68 + -40r + -3r = 18 + 3r + -3r Combine like terms: -40r + -3r = -43r -68 + -43r = 18 + 3r + -3r Combine like terms: 3r + -3r = 0 -68 + -43r = 18 + 0 -68 + -43r = 18 Add '68' to each side of the equation. -68 + 68 + -43r = 18 + 68 Combine like terms: -68 + 68 = 0 0 + -43r = 18 + 68 -43r = 18 + 68 Combine like terms: 18 + 68 = 86 -43r = 86 Divide each side by '-43'. r = -2 Simplifying r = -2
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