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Simplifying 5(2r + 6) = 8(5r + -45) Reorder the terms: 5(6 + 2r) = 8(5r + -45) (6 * 5 + 2r * 5) = 8(5r + -45) (30 + 10r) = 8(5r + -45) Reorder the terms: 30 + 10r = 8(-45 + 5r) 30 + 10r = (-45 * 8 + 5r * 8) 30 + 10r = (-360 + 40r) Solving 30 + 10r = -360 + 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. 30 + 10r + -40r = -360 + 40r + -40r Combine like terms: 10r + -40r = -30r 30 + -30r = -360 + 40r + -40r Combine like terms: 40r + -40r = 0 30 + -30r = -360 + 0 30 + -30r = -360 Add '-30' to each side of the equation. 30 + -30 + -30r = -360 + -30 Combine like terms: 30 + -30 = 0 0 + -30r = -360 + -30 -30r = -360 + -30 Combine like terms: -360 + -30 = -390 -30r = -390 Divide each side by '-30'. r = 13 Simplifying r = 13
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