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Simplifying p + -8 = -8(1 + 6p) Reorder the terms: -8 + p = -8(1 + 6p) -8 + p = (1 * -8 + 6p * -8) -8 + p = (-8 + -48p) Add '8' to each side of the equation. -8 + 8 + p = -8 + 8 + -48p Combine like terms: -8 + 8 = 0 0 + p = -8 + 8 + -48p p = -8 + 8 + -48p Combine like terms: -8 + 8 = 0 p = 0 + -48p p = -48p Solving p = -48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48p' to each side of the equation. p + 48p = -48p + 48p Combine like terms: p + 48p = 49p 49p = -48p + 48p Combine like terms: -48p + 48p = 0 49p = 0 Divide each side by '49'. p = 0 Simplifying p = 0
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