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Simplifying 6 = -2 + 4(p + 8) Reorder the terms: 6 = -2 + 4(8 + p) 6 = -2 + (8 * 4 + p * 4) 6 = -2 + (32 + 4p) Combine like terms: -2 + 32 = 30 6 = 30 + 4p Solving 6 = 30 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 6 + -4p = 30 + 4p + -4p Combine like terms: 4p + -4p = 0 6 + -4p = 30 + 0 6 + -4p = 30 Add '-6' to each side of the equation. 6 + -6 + -4p = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -4p = 30 + -6 -4p = 30 + -6 Combine like terms: 30 + -6 = 24 -4p = 24 Divide each side by '-4'. p = -6 Simplifying p = -6
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