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Simplifying 8 + 15r + -2 = 8r + 72 + -4r Reorder the terms: 8 + -2 + 15r = 8r + 72 + -4r Combine like terms: 8 + -2 = 6 6 + 15r = 8r + 72 + -4r Reorder the terms: 6 + 15r = 72 + 8r + -4r Combine like terms: 8r + -4r = 4r 6 + 15r = 72 + 4r Solving 6 + 15r = 72 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 6 + 15r + -4r = 72 + 4r + -4r Combine like terms: 15r + -4r = 11r 6 + 11r = 72 + 4r + -4r Combine like terms: 4r + -4r = 0 6 + 11r = 72 + 0 6 + 11r = 72 Add '-6' to each side of the equation. 6 + -6 + 11r = 72 + -6 Combine like terms: 6 + -6 = 0 0 + 11r = 72 + -6 11r = 72 + -6 Combine like terms: 72 + -6 = 66 11r = 66 Divide each side by '11'. r = 6 Simplifying r = 6
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