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Simplifying 4(1 + 6p) = 4 + -7p (1 * 4 + 6p * 4) = 4 + -7p (4 + 24p) = 4 + -7p Add '-4' to each side of the equation. 4 + -4 + 24p = 4 + -4 + -7p Combine like terms: 4 + -4 = 0 0 + 24p = 4 + -4 + -7p 24p = 4 + -4 + -7p Combine like terms: 4 + -4 = 0 24p = 0 + -7p 24p = -7p Solving 24p = -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 24p + 7p = -7p + 7p Combine like terms: 24p + 7p = 31p 31p = -7p + 7p Combine like terms: -7p + 7p = 0 31p = 0 Divide each side by '31'. p = 0 Simplifying p = 0
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