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Simplifying 6(p + 8) = -4(2p + -5) Reorder the terms: 6(8 + p) = -4(2p + -5) (8 * 6 + p * 6) = -4(2p + -5) (48 + 6p) = -4(2p + -5) Reorder the terms: 48 + 6p = -4(-5 + 2p) 48 + 6p = (-5 * -4 + 2p * -4) 48 + 6p = (20 + -8p) Solving 48 + 6p = 20 + -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. 48 + 6p + 8p = 20 + -8p + 8p Combine like terms: 6p + 8p = 14p 48 + 14p = 20 + -8p + 8p Combine like terms: -8p + 8p = 0 48 + 14p = 20 + 0 48 + 14p = 20 Add '-48' to each side of the equation. 48 + -48 + 14p = 20 + -48 Combine like terms: 48 + -48 = 0 0 + 14p = 20 + -48 14p = 20 + -48 Combine like terms: 20 + -48 = -28 14p = -28 Divide each side by '14'. p = -2 Simplifying p = -2
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