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Simplifying -6 + -4p = -2(4p + 15) Reorder the terms: -6 + -4p = -2(15 + 4p) -6 + -4p = (15 * -2 + 4p * -2) -6 + -4p = (-30 + -8p) Solving -6 + -4p = -30 + -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. -6 + -4p + 8p = -30 + -8p + 8p Combine like terms: -4p + 8p = 4p -6 + 4p = -30 + -8p + 8p Combine like terms: -8p + 8p = 0 -6 + 4p = -30 + 0 -6 + 4p = -30 Add '6' to each side of the equation. -6 + 6 + 4p = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -30 + 6 4p = -30 + 6 Combine like terms: -30 + 6 = -24 4p = -24 Divide each side by '4'. p = -6 Simplifying p = -6
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