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Simplifying -8(4p + -12) + 8p = 6(1 + -3p) Reorder the terms: -8(-12 + 4p) + 8p = 6(1 + -3p) (-12 * -8 + 4p * -8) + 8p = 6(1 + -3p) (96 + -32p) + 8p = 6(1 + -3p) Combine like terms: -32p + 8p = -24p 96 + -24p = 6(1 + -3p) 96 + -24p = (1 * 6 + -3p * 6) 96 + -24p = (6 + -18p) Solving 96 + -24p = 6 + -18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. 96 + -24p + 18p = 6 + -18p + 18p Combine like terms: -24p + 18p = -6p 96 + -6p = 6 + -18p + 18p Combine like terms: -18p + 18p = 0 96 + -6p = 6 + 0 96 + -6p = 6 Add '-96' to each side of the equation. 96 + -96 + -6p = 6 + -96 Combine like terms: 96 + -96 = 0 0 + -6p = 6 + -96 -6p = 6 + -96 Combine like terms: 6 + -96 = -90 -6p = -90 Divide each side by '-6'. p = 15 Simplifying p = 15
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