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Simplifying 10r + 12 + -11r = 3r + -12 + -12 Reorder the terms: 12 + 10r + -11r = 3r + -12 + -12 Combine like terms: 10r + -11r = -1r 12 + -1r = 3r + -12 + -12 Reorder the terms: 12 + -1r = -12 + -12 + 3r Combine like terms: -12 + -12 = -24 12 + -1r = -24 + 3r Solving 12 + -1r = -24 + 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. 12 + -1r + -3r = -24 + 3r + -3r Combine like terms: -1r + -3r = -4r 12 + -4r = -24 + 3r + -3r Combine like terms: 3r + -3r = 0 12 + -4r = -24 + 0 12 + -4r = -24 Add '-12' to each side of the equation. 12 + -12 + -4r = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -4r = -24 + -12 -4r = -24 + -12 Combine like terms: -24 + -12 = -36 -4r = -36 Divide each side by '-4'. r = 9 Simplifying r = 9
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