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Simplifying -4r + -11 = 4r + 31 Reorder the terms: -11 + -4r = 4r + 31 Reorder the terms: -11 + -4r = 31 + 4r Solving -11 + -4r = 31 + 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. -11 + -4r + -4r = 31 + 4r + -4r Combine like terms: -4r + -4r = -8r -11 + -8r = 31 + 4r + -4r Combine like terms: 4r + -4r = 0 -11 + -8r = 31 + 0 -11 + -8r = 31 Add '11' to each side of the equation. -11 + 11 + -8r = 31 + 11 Combine like terms: -11 + 11 = 0 0 + -8r = 31 + 11 -8r = 31 + 11 Combine like terms: 31 + 11 = 42 -8r = 42 Divide each side by '-8'. r = -5.25 Simplifying r = -5.25
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