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Simplifying 4(p + 4) + -6 = 38 + 8p Reorder the terms: 4(4 + p) + -6 = 38 + 8p (4 * 4 + p * 4) + -6 = 38 + 8p (16 + 4p) + -6 = 38 + 8p Reorder the terms: 16 + -6 + 4p = 38 + 8p Combine like terms: 16 + -6 = 10 10 + 4p = 38 + 8p Solving 10 + 4p = 38 + 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. 10 + 4p + -8p = 38 + 8p + -8p Combine like terms: 4p + -8p = -4p 10 + -4p = 38 + 8p + -8p Combine like terms: 8p + -8p = 0 10 + -4p = 38 + 0 10 + -4p = 38 Add '-10' to each side of the equation. 10 + -10 + -4p = 38 + -10 Combine like terms: 10 + -10 = 0 0 + -4p = 38 + -10 -4p = 38 + -10 Combine like terms: 38 + -10 = 28 -4p = 28 Divide each side by '-4'. p = -7 Simplifying p = -7
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