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Simplifying 3p + 8 = -2(p + -22) Reorder the terms: 8 + 3p = -2(p + -22) Reorder the terms: 8 + 3p = -2(-22 + p) 8 + 3p = (-22 * -2 + p * -2) 8 + 3p = (44 + -2p) Solving 8 + 3p = 44 + -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. 8 + 3p + 2p = 44 + -2p + 2p Combine like terms: 3p + 2p = 5p 8 + 5p = 44 + -2p + 2p Combine like terms: -2p + 2p = 0 8 + 5p = 44 + 0 8 + 5p = 44 Add '-8' to each side of the equation. 8 + -8 + 5p = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 5p = 44 + -8 5p = 44 + -8 Combine like terms: 44 + -8 = 36 5p = 36 Divide each side by '5'. p = 7.2 Simplifying p = 7.2
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