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Simplifying 7(2p + -6) = -48 + 8p Reorder the terms: 7(-6 + 2p) = -48 + 8p (-6 * 7 + 2p * 7) = -48 + 8p (-42 + 14p) = -48 + 8p Solving -42 + 14p = -48 + 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. -42 + 14p + -8p = -48 + 8p + -8p Combine like terms: 14p + -8p = 6p -42 + 6p = -48 + 8p + -8p Combine like terms: 8p + -8p = 0 -42 + 6p = -48 + 0 -42 + 6p = -48 Add '42' to each side of the equation. -42 + 42 + 6p = -48 + 42 Combine like terms: -42 + 42 = 0 0 + 6p = -48 + 42 6p = -48 + 42 Combine like terms: -48 + 42 = -6 6p = -6 Divide each side by '6'. p = -1 Simplifying p = -1
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