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Simplifying -4p + 22 = -2p + 2(1 + -6p) Reorder the terms: 22 + -4p = -2p + 2(1 + -6p) 22 + -4p = -2p + (1 * 2 + -6p * 2) 22 + -4p = -2p + (2 + -12p) Reorder the terms: 22 + -4p = 2 + -2p + -12p Combine like terms: -2p + -12p = -14p 22 + -4p = 2 + -14p Solving 22 + -4p = 2 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. 22 + -4p + 14p = 2 + -14p + 14p Combine like terms: -4p + 14p = 10p 22 + 10p = 2 + -14p + 14p Combine like terms: -14p + 14p = 0 22 + 10p = 2 + 0 22 + 10p = 2 Add '-22' to each side of the equation. 22 + -22 + 10p = 2 + -22 Combine like terms: 22 + -22 = 0 0 + 10p = 2 + -22 10p = 2 + -22 Combine like terms: 2 + -22 = -20 10p = -20 Divide each side by '10'. p = -2 Simplifying p = -2
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