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Simplifying 4r + 12 + -2r = 3r + -9 Reorder the terms: 12 + 4r + -2r = 3r + -9 Combine like terms: 4r + -2r = 2r 12 + 2r = 3r + -9 Reorder the terms: 12 + 2r = -9 + 3r Solving 12 + 2r = -9 + 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 + 2r + -3r = -9 + 3r + -3r Combine like terms: 2r + -3r = -1r 12 + -1r = -9 + 3r + -3r Combine like terms: 3r + -3r = 0 12 + -1r = -9 + 0 12 + -1r = -9 Add '-12' to each side of the equation. 12 + -12 + -1r = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = -9 + -12 -1r = -9 + -12 Combine like terms: -9 + -12 = -21 -1r = -21 Divide each side by '-1'. r = 21 Simplifying r = 21
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