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Simplifying -5(6p + 4) + -2 = -32p + 14 Reorder the terms: -5(4 + 6p) + -2 = -32p + 14 (4 * -5 + 6p * -5) + -2 = -32p + 14 (-20 + -30p) + -2 = -32p + 14 Reorder the terms: -20 + -2 + -30p = -32p + 14 Combine like terms: -20 + -2 = -22 -22 + -30p = -32p + 14 Reorder the terms: -22 + -30p = 14 + -32p Solving -22 + -30p = 14 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. -22 + -30p + 32p = 14 + -32p + 32p Combine like terms: -30p + 32p = 2p -22 + 2p = 14 + -32p + 32p Combine like terms: -32p + 32p = 0 -22 + 2p = 14 + 0 -22 + 2p = 14 Add '22' to each side of the equation. -22 + 22 + 2p = 14 + 22 Combine like terms: -22 + 22 = 0 0 + 2p = 14 + 22 2p = 14 + 22 Combine like terms: 14 + 22 = 36 2p = 36 Divide each side by '2'. p = 18 Simplifying p = 18
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