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Simplifying 3(2r + 4) = 6(5r + 2) Reorder the terms: 3(4 + 2r) = 6(5r + 2) (4 * 3 + 2r * 3) = 6(5r + 2) (12 + 6r) = 6(5r + 2) Reorder the terms: 12 + 6r = 6(2 + 5r) 12 + 6r = (2 * 6 + 5r * 6) 12 + 6r = (12 + 30r) Add '-12' to each side of the equation. 12 + -12 + 6r = 12 + -12 + 30r Combine like terms: 12 + -12 = 0 0 + 6r = 12 + -12 + 30r 6r = 12 + -12 + 30r Combine like terms: 12 + -12 = 0 6r = 0 + 30r 6r = 30r Solving 6r = 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 6r + -30r = 30r + -30r Combine like terms: 6r + -30r = -24r -24r = 30r + -30r Combine like terms: 30r + -30r = 0 -24r = 0 Divide each side by '-24'. r = 0 Simplifying r = 0
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