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Simplifying 3r + -11 = -51 + 8r Reorder the terms: -11 + 3r = -51 + 8r Solving -11 + 3r = -51 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -11 + 3r + -8r = -51 + 8r + -8r Combine like terms: 3r + -8r = -5r -11 + -5r = -51 + 8r + -8r Combine like terms: 8r + -8r = 0 -11 + -5r = -51 + 0 -11 + -5r = -51 Add '11' to each side of the equation. -11 + 11 + -5r = -51 + 11 Combine like terms: -11 + 11 = 0 0 + -5r = -51 + 11 -5r = -51 + 11 Combine like terms: -51 + 11 = -40 -5r = -40 Divide each side by '-5'. r = 8 Simplifying r = 8
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