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Simplifying 15 + 3r + -4 = 1 + 7r Reorder the terms: 15 + -4 + 3r = 1 + 7r Combine like terms: 15 + -4 = 11 11 + 3r = 1 + 7r Solving 11 + 3r = 1 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 11 + 3r + -7r = 1 + 7r + -7r Combine like terms: 3r + -7r = -4r 11 + -4r = 1 + 7r + -7r Combine like terms: 7r + -7r = 0 11 + -4r = 1 + 0 11 + -4r = 1 Add '-11' to each side of the equation. 11 + -11 + -4r = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -4r = 1 + -11 -4r = 1 + -11 Combine like terms: 1 + -11 = -10 -4r = -10 Divide each side by '-4'. r = 2.5 Simplifying r = 2.5
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