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Simplifying -22 = 12p + -2(5p + 4) Reorder the terms: -22 = 12p + -2(4 + 5p) -22 = 12p + (4 * -2 + 5p * -2) -22 = 12p + (-8 + -10p) Reorder the terms: -22 = -8 + 12p + -10p Combine like terms: 12p + -10p = 2p -22 = -8 + 2p Solving -22 = -8 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -22 + -2p = -8 + 2p + -2p Combine like terms: 2p + -2p = 0 -22 + -2p = -8 + 0 -22 + -2p = -8 Add '22' to each side of the equation. -22 + 22 + -2p = -8 + 22 Combine like terms: -22 + 22 = 0 0 + -2p = -8 + 22 -2p = -8 + 22 Combine like terms: -8 + 22 = 14 -2p = 14 Divide each side by '-2'. p = -7 Simplifying p = -7
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