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Simplifying 13 = 6p + 1 Reorder the terms: 13 = 1 + 6p Solving 13 = 1 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 13 + -6p = 1 + 6p + -6p Combine like terms: 6p + -6p = 0 13 + -6p = 1 + 0 13 + -6p = 1 Add '-13' to each side of the equation. 13 + -13 + -6p = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -6p = 1 + -13 -6p = 1 + -13 Combine like terms: 1 + -13 = -12 -6p = -12 Divide each side by '-6'. p = 2 Simplifying p = 2
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