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Simplifying -8(1 + -5r) = 8(4r + 12) (1 * -8 + -5r * -8) = 8(4r + 12) (-8 + 40r) = 8(4r + 12) Reorder the terms: -8 + 40r = 8(12 + 4r) -8 + 40r = (12 * 8 + 4r * 8) -8 + 40r = (96 + 32r) Solving -8 + 40r = 96 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. -8 + 40r + -32r = 96 + 32r + -32r Combine like terms: 40r + -32r = 8r -8 + 8r = 96 + 32r + -32r Combine like terms: 32r + -32r = 0 -8 + 8r = 96 + 0 -8 + 8r = 96 Add '8' to each side of the equation. -8 + 8 + 8r = 96 + 8 Combine like terms: -8 + 8 = 0 0 + 8r = 96 + 8 8r = 96 + 8 Combine like terms: 96 + 8 = 104 8r = 104 Divide each side by '8'. r = 13 Simplifying r = 13
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