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Simplifying 8 = -6(2p + 2) + -4(p + 7) Reorder the terms: 8 = -6(2 + 2p) + -4(p + 7) 8 = (2 * -6 + 2p * -6) + -4(p + 7) 8 = (-12 + -12p) + -4(p + 7) Reorder the terms: 8 = -12 + -12p + -4(7 + p) 8 = -12 + -12p + (7 * -4 + p * -4) 8 = -12 + -12p + (-28 + -4p) Reorder the terms: 8 = -12 + -28 + -12p + -4p Combine like terms: -12 + -28 = -40 8 = -40 + -12p + -4p Combine like terms: -12p + -4p = -16p 8 = -40 + -16p Solving 8 = -40 + -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. 8 + 16p = -40 + -16p + 16p Combine like terms: -16p + 16p = 0 8 + 16p = -40 + 0 8 + 16p = -40 Add '-8' to each side of the equation. 8 + -8 + 16p = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 16p = -40 + -8 16p = -40 + -8 Combine like terms: -40 + -8 = -48 16p = -48 Divide each side by '16'. p = -3 Simplifying p = -3
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