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Simplifying 38 + p = 4(1 + -4p) 38 + p = (1 * 4 + -4p * 4) 38 + p = (4 + -16p) Solving 38 + p = 4 + -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. 38 + p + 16p = 4 + -16p + 16p Combine like terms: p + 16p = 17p 38 + 17p = 4 + -16p + 16p Combine like terms: -16p + 16p = 0 38 + 17p = 4 + 0 38 + 17p = 4 Add '-38' to each side of the equation. 38 + -38 + 17p = 4 + -38 Combine like terms: 38 + -38 = 0 0 + 17p = 4 + -38 17p = 4 + -38 Combine like terms: 4 + -38 = -34 17p = -34 Divide each side by '17'. p = -2 Simplifying p = -2
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