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Simplifying 2p + -4(3 + -2p) = 5(p + -2) + -22 2p + (3 * -4 + -2p * -4) = 5(p + -2) + -22 2p + (-12 + 8p) = 5(p + -2) + -22 Reorder the terms: -12 + 2p + 8p = 5(p + -2) + -22 Combine like terms: 2p + 8p = 10p -12 + 10p = 5(p + -2) + -22 Reorder the terms: -12 + 10p = 5(-2 + p) + -22 -12 + 10p = (-2 * 5 + p * 5) + -22 -12 + 10p = (-10 + 5p) + -22 Reorder the terms: -12 + 10p = -10 + -22 + 5p Combine like terms: -10 + -22 = -32 -12 + 10p = -32 + 5p Solving -12 + 10p = -32 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 10p + -5p = -32 + 5p + -5p Combine like terms: 10p + -5p = 5p -12 + 5p = -32 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 5p = -32 + 0 -12 + 5p = -32 Add '12' to each side of the equation. -12 + 12 + 5p = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -32 + 12 5p = -32 + 12 Combine like terms: -32 + 12 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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