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Simplifying -38 + -2p = -8(-4 + 2p) -38 + -2p = (-4 * -8 + 2p * -8) -38 + -2p = (32 + -16p) Solving -38 + -2p = 32 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -38 + -2p + 16p = 32 + -16p + 16p Combine like terms: -2p + 16p = 14p -38 + 14p = 32 + -16p + 16p Combine like terms: -16p + 16p = 0 -38 + 14p = 32 + 0 -38 + 14p = 32 Add '38' to each side of the equation. -38 + 38 + 14p = 32 + 38 Combine like terms: -38 + 38 = 0 0 + 14p = 32 + 38 14p = 32 + 38 Combine like terms: 32 + 38 = 70 14p = 70 Divide each side by '14'. p = 5 Simplifying p = 5
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