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Simplifying 3r + 12 = 2r + 6 Reorder the terms: 12 + 3r = 2r + 6 Reorder the terms: 12 + 3r = 6 + 2r Solving 12 + 3r = 6 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 12 + 3r + -2r = 6 + 2r + -2r Combine like terms: 3r + -2r = 1r 12 + 1r = 6 + 2r + -2r Combine like terms: 2r + -2r = 0 12 + 1r = 6 + 0 12 + 1r = 6 Add '-12' to each side of the equation. 12 + -12 + 1r = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1r = 6 + -12 1r = 6 + -12 Combine like terms: 6 + -12 = -6 1r = -6 Divide each side by '1'. r = -6 Simplifying r = -6
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