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Simplifying 30 + -6p = -4(2p + -5) + 4 Reorder the terms: 30 + -6p = -4(-5 + 2p) + 4 30 + -6p = (-5 * -4 + 2p * -4) + 4 30 + -6p = (20 + -8p) + 4 Reorder the terms: 30 + -6p = 20 + 4 + -8p Combine like terms: 20 + 4 = 24 30 + -6p = 24 + -8p Solving 30 + -6p = 24 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 30 + -6p + 8p = 24 + -8p + 8p Combine like terms: -6p + 8p = 2p 30 + 2p = 24 + -8p + 8p Combine like terms: -8p + 8p = 0 30 + 2p = 24 + 0 30 + 2p = 24 Add '-30' to each side of the equation. 30 + -30 + 2p = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 2p = 24 + -30 2p = 24 + -30 Combine like terms: 24 + -30 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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