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Simplifying -7(3 + 6p) + p = 12 + -8p (3 * -7 + 6p * -7) + p = 12 + -8p (-21 + -42p) + p = 12 + -8p Combine like terms: -42p + p = -41p -21 + -41p = 12 + -8p Solving -21 + -41p = 12 + -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. -21 + -41p + 8p = 12 + -8p + 8p Combine like terms: -41p + 8p = -33p -21 + -33p = 12 + -8p + 8p Combine like terms: -8p + 8p = 0 -21 + -33p = 12 + 0 -21 + -33p = 12 Add '21' to each side of the equation. -21 + 21 + -33p = 12 + 21 Combine like terms: -21 + 21 = 0 0 + -33p = 12 + 21 -33p = 12 + 21 Combine like terms: 12 + 21 = 33 -33p = 33 Divide each side by '-33'. p = -1 Simplifying p = -1
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