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Simplifying 4(3p + 3) + -14 = 2(4p + 7) Reorder the terms: 4(3 + 3p) + -14 = 2(4p + 7) (3 * 4 + 3p * 4) + -14 = 2(4p + 7) (12 + 12p) + -14 = 2(4p + 7) Reorder the terms: 12 + -14 + 12p = 2(4p + 7) Combine like terms: 12 + -14 = -2 -2 + 12p = 2(4p + 7) Reorder the terms: -2 + 12p = 2(7 + 4p) -2 + 12p = (7 * 2 + 4p * 2) -2 + 12p = (14 + 8p) Solving -2 + 12p = 14 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -2 + 12p + -8p = 14 + 8p + -8p Combine like terms: 12p + -8p = 4p -2 + 4p = 14 + 8p + -8p Combine like terms: 8p + -8p = 0 -2 + 4p = 14 + 0 -2 + 4p = 14 Add '2' to each side of the equation. -2 + 2 + 4p = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 4p = 14 + 2 4p = 14 + 2 Combine like terms: 14 + 2 = 16 4p = 16 Divide each side by '4'. p = 4 Simplifying p = 4
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