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Simplifying 6(p + -6) = -4(2p + 5) + -2 Reorder the terms: 6(-6 + p) = -4(2p + 5) + -2 (-6 * 6 + p * 6) = -4(2p + 5) + -2 (-36 + 6p) = -4(2p + 5) + -2 Reorder the terms: -36 + 6p = -4(5 + 2p) + -2 -36 + 6p = (5 * -4 + 2p * -4) + -2 -36 + 6p = (-20 + -8p) + -2 Reorder the terms: -36 + 6p = -20 + -2 + -8p Combine like terms: -20 + -2 = -22 -36 + 6p = -22 + -8p Solving -36 + 6p = -22 + -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. -36 + 6p + 8p = -22 + -8p + 8p Combine like terms: 6p + 8p = 14p -36 + 14p = -22 + -8p + 8p Combine like terms: -8p + 8p = 0 -36 + 14p = -22 + 0 -36 + 14p = -22 Add '36' to each side of the equation. -36 + 36 + 14p = -22 + 36 Combine like terms: -36 + 36 = 0 0 + 14p = -22 + 36 14p = -22 + 36 Combine like terms: -22 + 36 = 14 14p = 14 Divide each side by '14'. p = 1 Simplifying p = 1
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