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Simplifying 6(-3 + -5p) + 6p = 78 (-3 * 6 + -5p * 6) + 6p = 78 (-18 + -30p) + 6p = 78 Combine like terms: -30p + 6p = -24p -18 + -24p = 78 Solving -18 + -24p = 78 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -24p = 78 + 18 Combine like terms: -18 + 18 = 0 0 + -24p = 78 + 18 -24p = 78 + 18 Combine like terms: 78 + 18 = 96 -24p = 96 Divide each side by '-24'. p = -4 Simplifying p = -4
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