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Simplifying 6r + -12 = 2r + 6 Reorder the terms: -12 + 6r = 2r + 6 Reorder the terms: -12 + 6r = 6 + 2r Solving -12 + 6r = 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 + 6r + -2r = 6 + 2r + -2r Combine like terms: 6r + -2r = 4r -12 + 4r = 6 + 2r + -2r Combine like terms: 2r + -2r = 0 -12 + 4r = 6 + 0 -12 + 4r = 6 Add '12' to each side of the equation. -12 + 12 + 4r = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 4r = 6 + 12 4r = 6 + 12 Combine like terms: 6 + 12 = 18 4r = 18 Divide each side by '4'. r = 4.5 Simplifying r = 4.5
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