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Simplifying -40 + -6p = -8p + -3(-8 + 2p) -40 + -6p = -8p + (-8 * -3 + 2p * -3) -40 + -6p = -8p + (24 + -6p) Reorder the terms: -40 + -6p = 24 + -8p + -6p Combine like terms: -8p + -6p = -14p -40 + -6p = 24 + -14p Solving -40 + -6p = 24 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. -40 + -6p + 14p = 24 + -14p + 14p Combine like terms: -6p + 14p = 8p -40 + 8p = 24 + -14p + 14p Combine like terms: -14p + 14p = 0 -40 + 8p = 24 + 0 -40 + 8p = 24 Add '40' to each side of the equation. -40 + 40 + 8p = 24 + 40 Combine like terms: -40 + 40 = 0 0 + 8p = 24 + 40 8p = 24 + 40 Combine like terms: 24 + 40 = 64 8p = 64 Divide each side by '8'. p = 8 Simplifying p = 8
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