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Simplifying 5(3r + 4) = 5(-8 + -3r) Reorder the terms: 5(4 + 3r) = 5(-8 + -3r) (4 * 5 + 3r * 5) = 5(-8 + -3r) (20 + 15r) = 5(-8 + -3r) 20 + 15r = (-8 * 5 + -3r * 5) 20 + 15r = (-40 + -15r) Solving 20 + 15r = -40 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 20 + 15r + 15r = -40 + -15r + 15r Combine like terms: 15r + 15r = 30r 20 + 30r = -40 + -15r + 15r Combine like terms: -15r + 15r = 0 20 + 30r = -40 + 0 20 + 30r = -40 Add '-20' to each side of the equation. 20 + -20 + 30r = -40 + -20 Combine like terms: 20 + -20 = 0 0 + 30r = -40 + -20 30r = -40 + -20 Combine like terms: -40 + -20 = -60 30r = -60 Divide each side by '30'. r = -2 Simplifying r = -2
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