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Simplifying 3(4 + -2p) = -3(1 + 7p) (4 * 3 + -2p * 3) = -3(1 + 7p) (12 + -6p) = -3(1 + 7p) 12 + -6p = (1 * -3 + 7p * -3) 12 + -6p = (-3 + -21p) Solving 12 + -6p = -3 + -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. 12 + -6p + 21p = -3 + -21p + 21p Combine like terms: -6p + 21p = 15p 12 + 15p = -3 + -21p + 21p Combine like terms: -21p + 21p = 0 12 + 15p = -3 + 0 12 + 15p = -3 Add '-12' to each side of the equation. 12 + -12 + 15p = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 15p = -3 + -12 15p = -3 + -12 Combine like terms: -3 + -12 = -15 15p = -15 Divide each side by '15'. p = -1 Simplifying p = -1
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