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Simplifying 6r + 2(r + 6) = 4r + 12 Reorder the terms: 6r + 2(6 + r) = 4r + 12 6r + (6 * 2 + r * 2) = 4r + 12 6r + (12 + 2r) = 4r + 12 Reorder the terms: 12 + 6r + 2r = 4r + 12 Combine like terms: 6r + 2r = 8r 12 + 8r = 4r + 12 Reorder the terms: 12 + 8r = 12 + 4r Add '-12' to each side of the equation. 12 + -12 + 8r = 12 + -12 + 4r Combine like terms: 12 + -12 = 0 0 + 8r = 12 + -12 + 4r 8r = 12 + -12 + 4r Combine like terms: 12 + -12 = 0 8r = 0 + 4r 8r = 4r Solving 8r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 8r + -4r = 4r + -4r Combine like terms: 8r + -4r = 4r 4r = 4r + -4r Combine like terms: 4r + -4r = 0 4r = 0 Divide each side by '4'. r = 0 Simplifying r = 0
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