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Simplifying 9r + -4r + 8r + -6 = 10r + -11 + 2r Reorder the terms: -6 + 9r + -4r + 8r = 10r + -11 + 2r Combine like terms: 9r + -4r = 5r -6 + 5r + 8r = 10r + -11 + 2r Combine like terms: 5r + 8r = 13r -6 + 13r = 10r + -11 + 2r Reorder the terms: -6 + 13r = -11 + 10r + 2r Combine like terms: 10r + 2r = 12r -6 + 13r = -11 + 12r Solving -6 + 13r = -11 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -6 + 13r + -12r = -11 + 12r + -12r Combine like terms: 13r + -12r = 1r -6 + 1r = -11 + 12r + -12r Combine like terms: 12r + -12r = 0 -6 + 1r = -11 + 0 -6 + 1r = -11 Add '6' to each side of the equation. -6 + 6 + 1r = -11 + 6 Combine like terms: -6 + 6 = 0 0 + 1r = -11 + 6 1r = -11 + 6 Combine like terms: -11 + 6 = -5 1r = -5 Divide each side by '1'. r = -5 Simplifying r = -5
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