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Simplifying 6(8p + -4) + -6p = -7p + -24 Reorder the terms: 6(-4 + 8p) + -6p = -7p + -24 (-4 * 6 + 8p * 6) + -6p = -7p + -24 (-24 + 48p) + -6p = -7p + -24 Combine like terms: 48p + -6p = 42p -24 + 42p = -7p + -24 Reorder the terms: -24 + 42p = -24 + -7p Add '24' to each side of the equation. -24 + 24 + 42p = -24 + 24 + -7p Combine like terms: -24 + 24 = 0 0 + 42p = -24 + 24 + -7p 42p = -24 + 24 + -7p Combine like terms: -24 + 24 = 0 42p = 0 + -7p 42p = -7p Solving 42p = -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 42p + 7p = -7p + 7p Combine like terms: 42p + 7p = 49p 49p = -7p + 7p Combine like terms: -7p + 7p = 0 49p = 0 Divide each side by '49'. p = 0 Simplifying p = 0
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