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Simplifying -456 = 8(8p + -1) Reorder the terms: -456 = 8(-1 + 8p) -456 = (-1 * 8 + 8p * 8) -456 = (-8 + 64p) Solving -456 = -8 + 64p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-64p' to each side of the equation. -456 + -64p = -8 + 64p + -64p Combine like terms: 64p + -64p = 0 -456 + -64p = -8 + 0 -456 + -64p = -8 Add '456' to each side of the equation. -456 + 456 + -64p = -8 + 456 Combine like terms: -456 + 456 = 0 0 + -64p = -8 + 456 -64p = -8 + 456 Combine like terms: -8 + 456 = 448 -64p = 448 Divide each side by '-64'. p = -7 Simplifying p = -7
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