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Simplifying 3(5r + 6) = -38 + 7r Reorder the terms: 3(6 + 5r) = -38 + 7r (6 * 3 + 5r * 3) = -38 + 7r (18 + 15r) = -38 + 7r Solving 18 + 15r = -38 + 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 + 15r + -7r = -38 + 7r + -7r Combine like terms: 15r + -7r = 8r 18 + 8r = -38 + 7r + -7r Combine like terms: 7r + -7r = 0 18 + 8r = -38 + 0 18 + 8r = -38 Add '-18' to each side of the equation. 18 + -18 + 8r = -38 + -18 Combine like terms: 18 + -18 = 0 0 + 8r = -38 + -18 8r = -38 + -18 Combine like terms: -38 + -18 = -56 8r = -56 Divide each side by '8'. r = -7 Simplifying r = -7
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