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Simplifying 90 = -6 + 8(p + 4) Reorder the terms: 90 = -6 + 8(4 + p) 90 = -6 + (4 * 8 + p * 8) 90 = -6 + (32 + 8p) Combine like terms: -6 + 32 = 26 90 = 26 + 8p Solving 90 = 26 + 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. 90 + -8p = 26 + 8p + -8p Combine like terms: 8p + -8p = 0 90 + -8p = 26 + 0 90 + -8p = 26 Add '-90' to each side of the equation. 90 + -90 + -8p = 26 + -90 Combine like terms: 90 + -90 = 0 0 + -8p = 26 + -90 -8p = 26 + -90 Combine like terms: 26 + -90 = -64 -8p = -64 Divide each side by '-8'. p = 8 Simplifying p = 8
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