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Simplifying 5(6p) = 3(8p + -4) Remove parenthesis around (6p) 5 * 6p = 3(8p + -4) Multiply 5 * 6 30p = 3(8p + -4) Reorder the terms: 30p = 3(-4 + 8p) 30p = (-4 * 3 + 8p * 3) 30p = (-12 + 24p) Solving 30p = -12 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 30p + -24p = -12 + 24p + -24p Combine like terms: 30p + -24p = 6p 6p = -12 + 24p + -24p Combine like terms: 24p + -24p = 0 6p = -12 + 0 6p = -12 Divide each side by '6'. p = -2 Simplifying p = -2
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