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Simplifying -90 = -8 + -2(1 + 8p) -90 = -8 + (1 * -2 + 8p * -2) -90 = -8 + (-2 + -16p) Combine like terms: -8 + -2 = -10 -90 = -10 + -16p Solving -90 = -10 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -90 + 16p = -10 + -16p + 16p Combine like terms: -16p + 16p = 0 -90 + 16p = -10 + 0 -90 + 16p = -10 Add '90' to each side of the equation. -90 + 90 + 16p = -10 + 90 Combine like terms: -90 + 90 = 0 0 + 16p = -10 + 90 16p = -10 + 90 Combine like terms: -10 + 90 = 80 16p = 80 Divide each side by '16'. p = 5 Simplifying p = 5
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