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Simplifying 3(5r + -5) + -4(r + -8) = 0 Reorder the terms: 3(-5 + 5r) + -4(r + -8) = 0 (-5 * 3 + 5r * 3) + -4(r + -8) = 0 (-15 + 15r) + -4(r + -8) = 0 Reorder the terms: -15 + 15r + -4(-8 + r) = 0 -15 + 15r + (-8 * -4 + r * -4) = 0 -15 + 15r + (32 + -4r) = 0 Reorder the terms: -15 + 32 + 15r + -4r = 0 Combine like terms: -15 + 32 = 17 17 + 15r + -4r = 0 Combine like terms: 15r + -4r = 11r 17 + 11r = 0 Solving 17 + 11r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 11r = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 11r = 0 + -17 11r = 0 + -17 Combine like terms: 0 + -17 = -17 11r = -17 Divide each side by '11'. r = -1.545454545 Simplifying r = -1.545454545
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