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Simplifying -6(8 + -8p) + -7 = -15 + 8p (8 * -6 + -8p * -6) + -7 = -15 + 8p (-48 + 48p) + -7 = -15 + 8p Reorder the terms: -48 + -7 + 48p = -15 + 8p Combine like terms: -48 + -7 = -55 -55 + 48p = -15 + 8p Solving -55 + 48p = -15 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -55 + 48p + -8p = -15 + 8p + -8p Combine like terms: 48p + -8p = 40p -55 + 40p = -15 + 8p + -8p Combine like terms: 8p + -8p = 0 -55 + 40p = -15 + 0 -55 + 40p = -15 Add '55' to each side of the equation. -55 + 55 + 40p = -15 + 55 Combine like terms: -55 + 55 = 0 0 + 40p = -15 + 55 40p = -15 + 55 Combine like terms: -15 + 55 = 40 40p = 40 Divide each side by '40'. p = 1 Simplifying p = 1
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