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Simplifying 3(2p + 1) = 7(5 + -1p) + -6 Reorder the terms: 3(1 + 2p) = 7(5 + -1p) + -6 (1 * 3 + 2p * 3) = 7(5 + -1p) + -6 (3 + 6p) = 7(5 + -1p) + -6 3 + 6p = (5 * 7 + -1p * 7) + -6 3 + 6p = (35 + -7p) + -6 Reorder the terms: 3 + 6p = 35 + -6 + -7p Combine like terms: 35 + -6 = 29 3 + 6p = 29 + -7p Solving 3 + 6p = 29 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 3 + 6p + 7p = 29 + -7p + 7p Combine like terms: 6p + 7p = 13p 3 + 13p = 29 + -7p + 7p Combine like terms: -7p + 7p = 0 3 + 13p = 29 + 0 3 + 13p = 29 Add '-3' to each side of the equation. 3 + -3 + 13p = 29 + -3 Combine like terms: 3 + -3 = 0 0 + 13p = 29 + -3 13p = 29 + -3 Combine like terms: 29 + -3 = 26 13p = 26 Divide each side by '13'. p = 2 Simplifying p = 2
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