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Simplifying 12 + r = 3r + 8 Reorder the terms: 12 + r = 8 + 3r Solving 12 + r = 8 + 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 + r + -3r = 8 + 3r + -3r Combine like terms: r + -3r = -2r 12 + -2r = 8 + 3r + -3r Combine like terms: 3r + -3r = 0 12 + -2r = 8 + 0 12 + -2r = 8 Add '-12' to each side of the equation. 12 + -12 + -2r = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -2r = 8 + -12 -2r = 8 + -12 Combine like terms: 8 + -12 = -4 -2r = -4 Divide each side by '-2'. r = 2 Simplifying r = 2
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