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Simplifying 8(6 + -7) + -7p = -7(3p + 8) Combine like terms: 6 + -7 = -1 8(-1) + -7p = -7(3p + 8) Multiply 8 * -1 -8 + -7p = -7(3p + 8) Reorder the terms: -8 + -7p = -7(8 + 3p) -8 + -7p = (8 * -7 + 3p * -7) -8 + -7p = (-56 + -21p) Solving -8 + -7p = -56 + -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. -8 + -7p + 21p = -56 + -21p + 21p Combine like terms: -7p + 21p = 14p -8 + 14p = -56 + -21p + 21p Combine like terms: -21p + 21p = 0 -8 + 14p = -56 + 0 -8 + 14p = -56 Add '8' to each side of the equation. -8 + 8 + 14p = -56 + 8 Combine like terms: -8 + 8 = 0 0 + 14p = -56 + 8 14p = -56 + 8 Combine like terms: -56 + 8 = -48 14p = -48 Divide each side by '14'. p = -3.428571429 Simplifying p = -3.428571429
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