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Simplifying -5p + -6 = -8(-8 + 5p) Reorder the terms: -6 + -5p = -8(-8 + 5p) -6 + -5p = (-8 * -8 + 5p * -8) -6 + -5p = (64 + -40p) Solving -6 + -5p = 64 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. -6 + -5p + 40p = 64 + -40p + 40p Combine like terms: -5p + 40p = 35p -6 + 35p = 64 + -40p + 40p Combine like terms: -40p + 40p = 0 -6 + 35p = 64 + 0 -6 + 35p = 64 Add '6' to each side of the equation. -6 + 6 + 35p = 64 + 6 Combine like terms: -6 + 6 = 0 0 + 35p = 64 + 6 35p = 64 + 6 Combine like terms: 64 + 6 = 70 35p = 70 Divide each side by '35'. p = 2 Simplifying p = 2
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