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Simplifying -6(4p + 4) + -30 = 3(2p + 2) Reorder the terms: -6(4 + 4p) + -30 = 3(2p + 2) (4 * -6 + 4p * -6) + -30 = 3(2p + 2) (-24 + -24p) + -30 = 3(2p + 2) Reorder the terms: -24 + -30 + -24p = 3(2p + 2) Combine like terms: -24 + -30 = -54 -54 + -24p = 3(2p + 2) Reorder the terms: -54 + -24p = 3(2 + 2p) -54 + -24p = (2 * 3 + 2p * 3) -54 + -24p = (6 + 6p) Solving -54 + -24p = 6 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -54 + -24p + -6p = 6 + 6p + -6p Combine like terms: -24p + -6p = -30p -54 + -30p = 6 + 6p + -6p Combine like terms: 6p + -6p = 0 -54 + -30p = 6 + 0 -54 + -30p = 6 Add '54' to each side of the equation. -54 + 54 + -30p = 6 + 54 Combine like terms: -54 + 54 = 0 0 + -30p = 6 + 54 -30p = 6 + 54 Combine like terms: 6 + 54 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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