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Simplifying 6(2r + 3) = 7r + -7 Reorder the terms: 6(3 + 2r) = 7r + -7 (3 * 6 + 2r * 6) = 7r + -7 (18 + 12r) = 7r + -7 Reorder the terms: 18 + 12r = -7 + 7r Solving 18 + 12r = -7 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 18 + 12r + -7r = -7 + 7r + -7r Combine like terms: 12r + -7r = 5r 18 + 5r = -7 + 7r + -7r Combine like terms: 7r + -7r = 0 18 + 5r = -7 + 0 18 + 5r = -7 Add '-18' to each side of the equation. 18 + -18 + 5r = -7 + -18 Combine like terms: 18 + -18 = 0 0 + 5r = -7 + -18 5r = -7 + -18 Combine like terms: -7 + -18 = -25 5r = -25 Divide each side by '5'. r = -5 Simplifying r = -5
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