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Simplifying -8(5r + -20) + -12r = -17 + -20r + -15 Reorder the terms: -8(-20 + 5r) + -12r = -17 + -20r + -15 (-20 * -8 + 5r * -8) + -12r = -17 + -20r + -15 (160 + -40r) + -12r = -17 + -20r + -15 Combine like terms: -40r + -12r = -52r 160 + -52r = -17 + -20r + -15 Reorder the terms: 160 + -52r = -17 + -15 + -20r Combine like terms: -17 + -15 = -32 160 + -52r = -32 + -20r Solving 160 + -52r = -32 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. 160 + -52r + 20r = -32 + -20r + 20r Combine like terms: -52r + 20r = -32r 160 + -32r = -32 + -20r + 20r Combine like terms: -20r + 20r = 0 160 + -32r = -32 + 0 160 + -32r = -32 Add '-160' to each side of the equation. 160 + -160 + -32r = -32 + -160 Combine like terms: 160 + -160 = 0 0 + -32r = -32 + -160 -32r = -32 + -160 Combine like terms: -32 + -160 = -192 -32r = -192 Divide each side by '-32'. r = 6 Simplifying r = 6
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