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Simplifying 3p + 74 = 10p + 32 Reorder the terms: 74 + 3p = 10p + 32 Reorder the terms: 74 + 3p = 32 + 10p Solving 74 + 3p = 32 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 74 + 3p + -10p = 32 + 10p + -10p Combine like terms: 3p + -10p = -7p 74 + -7p = 32 + 10p + -10p Combine like terms: 10p + -10p = 0 74 + -7p = 32 + 0 74 + -7p = 32 Add '-74' to each side of the equation. 74 + -74 + -7p = 32 + -74 Combine like terms: 74 + -74 = 0 0 + -7p = 32 + -74 -7p = 32 + -74 Combine like terms: 32 + -74 = -42 -7p = -42 Divide each side by '-7'. p = 6 Simplifying p = 6
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