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Simplifying 0(p + -1) = 6(p + -8) + -12 Reorder the terms: 0(-1 + p) = 6(p + -8) + -12 Anything times zero is zero. 0(-1 + p) = 6(p + -8) + -12 Reorder the terms: 0 = 6(-8 + p) + -12 0 = (-8 * 6 + p * 6) + -12 0 = (-48 + 6p) + -12 Reorder the terms: 0 = -48 + -12 + 6p Combine like terms: -48 + -12 = -60 0 = -60 + 6p Solving 0 = -60 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 0 + -6p = -60 + 6p + -6p Remove the zero: -6p = -60 + 6p + -6p Combine like terms: 6p + -6p = 0 -6p = -60 + 0 -6p = -60 Divide each side by '-6'. p = 10 Simplifying p = 10
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