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Simplifying -22p + -5(4 + -6p) = 6(p + -5) + -8 -22p + (4 * -5 + -6p * -5) = 6(p + -5) + -8 -22p + (-20 + 30p) = 6(p + -5) + -8 Reorder the terms: -20 + -22p + 30p = 6(p + -5) + -8 Combine like terms: -22p + 30p = 8p -20 + 8p = 6(p + -5) + -8 Reorder the terms: -20 + 8p = 6(-5 + p) + -8 -20 + 8p = (-5 * 6 + p * 6) + -8 -20 + 8p = (-30 + 6p) + -8 Reorder the terms: -20 + 8p = -30 + -8 + 6p Combine like terms: -30 + -8 = -38 -20 + 8p = -38 + 6p Solving -20 + 8p = -38 + 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. -20 + 8p + -6p = -38 + 6p + -6p Combine like terms: 8p + -6p = 2p -20 + 2p = -38 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 2p = -38 + 0 -20 + 2p = -38 Add '20' to each side of the equation. -20 + 20 + 2p = -38 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -38 + 20 2p = -38 + 20 Combine like terms: -38 + 20 = -18 2p = -18 Divide each side by '2'. p = -9 Simplifying p = -9
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