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Simplifying -2p + -14 = -8(2p + -7) Reorder the terms: -14 + -2p = -8(2p + -7) Reorder the terms: -14 + -2p = -8(-7 + 2p) -14 + -2p = (-7 * -8 + 2p * -8) -14 + -2p = (56 + -16p) Solving -14 + -2p = 56 + -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. -14 + -2p + 16p = 56 + -16p + 16p Combine like terms: -2p + 16p = 14p -14 + 14p = 56 + -16p + 16p Combine like terms: -16p + 16p = 0 -14 + 14p = 56 + 0 -14 + 14p = 56 Add '14' to each side of the equation. -14 + 14 + 14p = 56 + 14 Combine like terms: -14 + 14 = 0 0 + 14p = 56 + 14 14p = 56 + 14 Combine like terms: 56 + 14 = 70 14p = 70 Divide each side by '14'. p = 5 Simplifying p = 5
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