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Simplifying 2 + 5(8 + -2p) = 22 + -6p 2 + (8 * 5 + -2p * 5) = 22 + -6p 2 + (40 + -10p) = 22 + -6p Combine like terms: 2 + 40 = 42 42 + -10p = 22 + -6p Solving 42 + -10p = 22 + -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. 42 + -10p + 6p = 22 + -6p + 6p Combine like terms: -10p + 6p = -4p 42 + -4p = 22 + -6p + 6p Combine like terms: -6p + 6p = 0 42 + -4p = 22 + 0 42 + -4p = 22 Add '-42' to each side of the equation. 42 + -42 + -4p = 22 + -42 Combine like terms: 42 + -42 = 0 0 + -4p = 22 + -42 -4p = 22 + -42 Combine like terms: 22 + -42 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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