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Simplifying 8 + 15r + -1 = 8r + 19 + -5r Reorder the terms: 8 + -1 + 15r = 8r + 19 + -5r Combine like terms: 8 + -1 = 7 7 + 15r = 8r + 19 + -5r Reorder the terms: 7 + 15r = 19 + 8r + -5r Combine like terms: 8r + -5r = 3r 7 + 15r = 19 + 3r Solving 7 + 15r = 19 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 7 + 15r + -3r = 19 + 3r + -3r Combine like terms: 15r + -3r = 12r 7 + 12r = 19 + 3r + -3r Combine like terms: 3r + -3r = 0 7 + 12r = 19 + 0 7 + 12r = 19 Add '-7' to each side of the equation. 7 + -7 + 12r = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 12r = 19 + -7 12r = 19 + -7 Combine like terms: 19 + -7 = 12 12r = 12 Divide each side by '12'. r = 1 Simplifying r = 1
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