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Simplifying 4(3 + -2p) = 7(3 + -6p) (3 * 4 + -2p * 4) = 7(3 + -6p) (12 + -8p) = 7(3 + -6p) 12 + -8p = (3 * 7 + -6p * 7) 12 + -8p = (21 + -42p) Solving 12 + -8p = 21 + -42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '42p' to each side of the equation. 12 + -8p + 42p = 21 + -42p + 42p Combine like terms: -8p + 42p = 34p 12 + 34p = 21 + -42p + 42p Combine like terms: -42p + 42p = 0 12 + 34p = 21 + 0 12 + 34p = 21 Add '-12' to each side of the equation. 12 + -12 + 34p = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 34p = 21 + -12 34p = 21 + -12 Combine like terms: 21 + -12 = 9 34p = 9 Divide each side by '34'. p = 0.2647058824 Simplifying p = 0.2647058824
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