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Simplifying 33 + -7p = 8(1 + -4p) 33 + -7p = (1 * 8 + -4p * 8) 33 + -7p = (8 + -32p) Solving 33 + -7p = 8 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. 33 + -7p + 32p = 8 + -32p + 32p Combine like terms: -7p + 32p = 25p 33 + 25p = 8 + -32p + 32p Combine like terms: -32p + 32p = 0 33 + 25p = 8 + 0 33 + 25p = 8 Add '-33' to each side of the equation. 33 + -33 + 25p = 8 + -33 Combine like terms: 33 + -33 = 0 0 + 25p = 8 + -33 25p = 8 + -33 Combine like terms: 8 + -33 = -25 25p = -25 Divide each side by '25'. p = -1 Simplifying p = -1
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