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Simplifying 13 = 3p + 1 Reorder the terms: 13 = 1 + 3p Solving 13 = 1 + 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. 13 + -3p = 1 + 3p + -3p Combine like terms: 3p + -3p = 0 13 + -3p = 1 + 0 13 + -3p = 1 Add '-13' to each side of the equation. 13 + -13 + -3p = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -3p = 1 + -13 -3p = 1 + -13 Combine like terms: 1 + -13 = -12 -3p = -12 Divide each side by '-3'. p = 4 Simplifying p = 4
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