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Simplifying 13 + 2p + 5p = 3(2p + 4) + 6 Combine like terms: 2p + 5p = 7p 13 + 7p = 3(2p + 4) + 6 Reorder the terms: 13 + 7p = 3(4 + 2p) + 6 13 + 7p = (4 * 3 + 2p * 3) + 6 13 + 7p = (12 + 6p) + 6 Reorder the terms: 13 + 7p = 12 + 6 + 6p Combine like terms: 12 + 6 = 18 13 + 7p = 18 + 6p Solving 13 + 7p = 18 + 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 + 7p + -6p = 18 + 6p + -6p Combine like terms: 7p + -6p = 1p 13 + 1p = 18 + 6p + -6p Combine like terms: 6p + -6p = 0 13 + 1p = 18 + 0 13 + 1p = 18 Add '-13' to each side of the equation. 13 + -13 + 1p = 18 + -13 Combine like terms: 13 + -13 = 0 0 + 1p = 18 + -13 1p = 18 + -13 Combine like terms: 18 + -13 = 5 1p = 5 Divide each side by '1'. p = 5 Simplifying p = 5
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