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Simplifying 12 + -5r = 3r + -6r Combine like terms: 3r + -6r = -3r 12 + -5r = -3r Solving 12 + -5r = -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 + -5r + 3r = -3r + 3r Combine like terms: -5r + 3r = -2r 12 + -2r = -3r + 3r Combine like terms: -3r + 3r = 0 12 + -2r = 0 Add '-12' to each side of the equation. 12 + -12 + -2r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2r = 0 + -12 -2r = 0 + -12 Combine like terms: 0 + -12 = -12 -2r = -12 Divide each side by '-2'. r = 6 Simplifying r = 6
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