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Simplifying -102 = -6(6p + -1) Reorder the terms: -102 = -6(-1 + 6p) -102 = (-1 * -6 + 6p * -6) -102 = (6 + -36p) Solving -102 = 6 + -36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '36p' to each side of the equation. -102 + 36p = 6 + -36p + 36p Combine like terms: -36p + 36p = 0 -102 + 36p = 6 + 0 -102 + 36p = 6 Add '102' to each side of the equation. -102 + 102 + 36p = 6 + 102 Combine like terms: -102 + 102 = 0 0 + 36p = 6 + 102 36p = 6 + 102 Combine like terms: 6 + 102 = 108 36p = 108 Divide each side by '36'. p = 3 Simplifying p = 3
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