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Simplifying -10r + 14r + 12 = 8r + -8 Reorder the terms: 12 + -10r + 14r = 8r + -8 Combine like terms: -10r + 14r = 4r 12 + 4r = 8r + -8 Reorder the terms: 12 + 4r = -8 + 8r Solving 12 + 4r = -8 + 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. 12 + 4r + -8r = -8 + 8r + -8r Combine like terms: 4r + -8r = -4r 12 + -4r = -8 + 8r + -8r Combine like terms: 8r + -8r = 0 12 + -4r = -8 + 0 12 + -4r = -8 Add '-12' to each side of the equation. 12 + -12 + -4r = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -4r = -8 + -12 -4r = -8 + -12 Combine like terms: -8 + -12 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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