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Simplifying 42 = 12 + 3p Solving 42 = 12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 42 + -3p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 42 + -3p = 12 + 0 42 + -3p = 12 Add '-42' to each side of the equation. 42 + -42 + -3p = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -3p = 12 + -42 -3p = 12 + -42 Combine like terms: 12 + -42 = -30 -3p = -30 Divide each side by '-3'. p = 10 Simplifying p = 10
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