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Simplifying 2(6p + 3) + -5 = 1 + 6p Reorder the terms: 2(3 + 6p) + -5 = 1 + 6p (3 * 2 + 6p * 2) + -5 = 1 + 6p (6 + 12p) + -5 = 1 + 6p Reorder the terms: 6 + -5 + 12p = 1 + 6p Combine like terms: 6 + -5 = 1 1 + 12p = 1 + 6p Add '-1' to each side of the equation. 1 + -1 + 12p = 1 + -1 + 6p Combine like terms: 1 + -1 = 0 0 + 12p = 1 + -1 + 6p 12p = 1 + -1 + 6p Combine like terms: 1 + -1 = 0 12p = 0 + 6p 12p = 6p Solving 12p = 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. 12p + -6p = 6p + -6p Combine like terms: 12p + -6p = 6p 6p = 6p + -6p Combine like terms: 6p + -6p = 0 6p = 0 Divide each side by '6'. p = 0 Simplifying p = 0
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