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Simplifying 38 + p = -1p + -8(2 + -7p) 38 + p = -1p + (2 * -8 + -7p * -8) 38 + p = -1p + (-16 + 56p) Reorder the terms: 38 + p = -16 + -1p + 56p Combine like terms: -1p + 56p = 55p 38 + p = -16 + 55p Solving 38 + p = -16 + 55p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-55p' to each side of the equation. 38 + p + -55p = -16 + 55p + -55p Combine like terms: p + -55p = -54p 38 + -54p = -16 + 55p + -55p Combine like terms: 55p + -55p = 0 38 + -54p = -16 + 0 38 + -54p = -16 Add '-38' to each side of the equation. 38 + -38 + -54p = -16 + -38 Combine like terms: 38 + -38 = 0 0 + -54p = -16 + -38 -54p = -16 + -38 Combine like terms: -16 + -38 = -54 -54p = -54 Divide each side by '-54'. p = 1 Simplifying p = 1
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