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Simplifying 5r + r + 12 = r + r Reorder the terms: 12 + 5r + r = r + r Combine like terms: 5r + r = 6r 12 + 6r = r + r Combine like terms: r + r = 2r 12 + 6r = 2r Solving 12 + 6r = 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 + 6r + -2r = 2r + -2r Combine like terms: 6r + -2r = 4r 12 + 4r = 2r + -2r Combine like terms: 2r + -2r = 0 12 + 4r = 0 Add '-12' to each side of the equation. 12 + -12 + 4r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4r = 0 + -12 4r = 0 + -12 Combine like terms: 0 + -12 = -12 4r = -12 Divide each side by '4'. r = -3 Simplifying r = -3
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