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Simplifying 13p + -1 = 5(p + 3) Reorder the terms: -1 + 13p = 5(p + 3) Reorder the terms: -1 + 13p = 5(3 + p) -1 + 13p = (3 * 5 + p * 5) -1 + 13p = (15 + 5p) Solving -1 + 13p = 15 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -1 + 13p + -5p = 15 + 5p + -5p Combine like terms: 13p + -5p = 8p -1 + 8p = 15 + 5p + -5p Combine like terms: 5p + -5p = 0 -1 + 8p = 15 + 0 -1 + 8p = 15 Add '1' to each side of the equation. -1 + 1 + 8p = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 8p = 15 + 1 8p = 15 + 1 Combine like terms: 15 + 1 = 16 8p = 16 Divide each side by '8'. p = 2 Simplifying p = 2
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