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Simplifying -6(p + -6) = 30 + -4p Reorder the terms: -6(-6 + p) = 30 + -4p (-6 * -6 + p * -6) = 30 + -4p (36 + -6p) = 30 + -4p Solving 36 + -6p = 30 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 36 + -6p + 4p = 30 + -4p + 4p Combine like terms: -6p + 4p = -2p 36 + -2p = 30 + -4p + 4p Combine like terms: -4p + 4p = 0 36 + -2p = 30 + 0 36 + -2p = 30 Add '-36' to each side of the equation. 36 + -36 + -2p = 30 + -36 Combine like terms: 36 + -36 = 0 0 + -2p = 30 + -36 -2p = 30 + -36 Combine like terms: 30 + -36 = -6 -2p = -6 Divide each side by '-2'. p = 3 Simplifying p = 3
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