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Simplifying 3r + 12 = 4r + -2 Reorder the terms: 12 + 3r = 4r + -2 Reorder the terms: 12 + 3r = -2 + 4r Solving 12 + 3r = -2 + 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. 12 + 3r + -4r = -2 + 4r + -4r Combine like terms: 3r + -4r = -1r 12 + -1r = -2 + 4r + -4r Combine like terms: 4r + -4r = 0 12 + -1r = -2 + 0 12 + -1r = -2 Add '-12' to each side of the equation. 12 + -12 + -1r = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = -2 + -12 -1r = -2 + -12 Combine like terms: -2 + -12 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14
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