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Simplifying -22p + -5(3 + -6p) = 6(p + -5) + -9 -22p + (3 * -5 + -6p * -5) = 6(p + -5) + -9 -22p + (-15 + 30p) = 6(p + -5) + -9 Reorder the terms: -15 + -22p + 30p = 6(p + -5) + -9 Combine like terms: -22p + 30p = 8p -15 + 8p = 6(p + -5) + -9 Reorder the terms: -15 + 8p = 6(-5 + p) + -9 -15 + 8p = (-5 * 6 + p * 6) + -9 -15 + 8p = (-30 + 6p) + -9 Reorder the terms: -15 + 8p = -30 + -9 + 6p Combine like terms: -30 + -9 = -39 -15 + 8p = -39 + 6p Solving -15 + 8p = -39 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -15 + 8p + -6p = -39 + 6p + -6p Combine like terms: 8p + -6p = 2p -15 + 2p = -39 + 6p + -6p Combine like terms: 6p + -6p = 0 -15 + 2p = -39 + 0 -15 + 2p = -39 Add '15' to each side of the equation. -15 + 15 + 2p = -39 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -39 + 15 2p = -39 + 15 Combine like terms: -39 + 15 = -24 2p = -24 Divide each side by '2'. p = -12 Simplifying p = -12
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