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Simplifying 153 = 1 + 8(-3p + 4) Reorder the terms: 153 = 1 + 8(4 + -3p) 153 = 1 + (4 * 8 + -3p * 8) 153 = 1 + (32 + -24p) Combine like terms: 1 + 32 = 33 153 = 33 + -24p Solving 153 = 33 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 153 + 24p = 33 + -24p + 24p Combine like terms: -24p + 24p = 0 153 + 24p = 33 + 0 153 + 24p = 33 Add '-153' to each side of the equation. 153 + -153 + 24p = 33 + -153 Combine like terms: 153 + -153 = 0 0 + 24p = 33 + -153 24p = 33 + -153 Combine like terms: 33 + -153 = -120 24p = -120 Divide each side by '24'. p = -5 Simplifying p = -5
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