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Simplifying 6(-4p + 7) + 6 = 96 Reorder the terms: 6(7 + -4p) + 6 = 96 (7 * 6 + -4p * 6) + 6 = 96 (42 + -24p) + 6 = 96 Reorder the terms: 42 + 6 + -24p = 96 Combine like terms: 42 + 6 = 48 48 + -24p = 96 Solving 48 + -24p = 96 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -24p = 96 + -48 Combine like terms: 48 + -48 = 0 0 + -24p = 96 + -48 -24p = 96 + -48 Combine like terms: 96 + -48 = 48 -24p = 48 Divide each side by '-24'. p = -2 Simplifying p = -2
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