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Simplifying 10p + 10 + 4p = 2p + 5p + -32 Reorder the terms: 10 + 10p + 4p = 2p + 5p + -32 Combine like terms: 10p + 4p = 14p 10 + 14p = 2p + 5p + -32 Reorder the terms: 10 + 14p = -32 + 2p + 5p Combine like terms: 2p + 5p = 7p 10 + 14p = -32 + 7p Solving 10 + 14p = -32 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 10 + 14p + -7p = -32 + 7p + -7p Combine like terms: 14p + -7p = 7p 10 + 7p = -32 + 7p + -7p Combine like terms: 7p + -7p = 0 10 + 7p = -32 + 0 10 + 7p = -32 Add '-10' to each side of the equation. 10 + -10 + 7p = -32 + -10 Combine like terms: 10 + -10 = 0 0 + 7p = -32 + -10 7p = -32 + -10 Combine like terms: -32 + -10 = -42 7p = -42 Divide each side by '7'. p = -6 Simplifying p = -6
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