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Simplifying -6(-2p + -3) + 2 = 30 + 7p Reorder the terms: -6(-3 + -2p) + 2 = 30 + 7p (-3 * -6 + -2p * -6) + 2 = 30 + 7p (18 + 12p) + 2 = 30 + 7p Reorder the terms: 18 + 2 + 12p = 30 + 7p Combine like terms: 18 + 2 = 20 20 + 12p = 30 + 7p Solving 20 + 12p = 30 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 20 + 12p + -7p = 30 + 7p + -7p Combine like terms: 12p + -7p = 5p 20 + 5p = 30 + 7p + -7p Combine like terms: 7p + -7p = 0 20 + 5p = 30 + 0 20 + 5p = 30 Add '-20' to each side of the equation. 20 + -20 + 5p = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 5p = 30 + -20 5p = 30 + -20 Combine like terms: 30 + -20 = 10 5p = 10 Divide each side by '5'. p = 2 Simplifying p = 2
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