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Simplifying -8p + 58 + 2p + 8 = 2(7p + 3) Reorder the terms: 58 + 8 + -8p + 2p = 2(7p + 3) Combine like terms: 58 + 8 = 66 66 + -8p + 2p = 2(7p + 3) Combine like terms: -8p + 2p = -6p 66 + -6p = 2(7p + 3) Reorder the terms: 66 + -6p = 2(3 + 7p) 66 + -6p = (3 * 2 + 7p * 2) 66 + -6p = (6 + 14p) Solving 66 + -6p = 6 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 66 + -6p + -14p = 6 + 14p + -14p Combine like terms: -6p + -14p = -20p 66 + -20p = 6 + 14p + -14p Combine like terms: 14p + -14p = 0 66 + -20p = 6 + 0 66 + -20p = 6 Add '-66' to each side of the equation. 66 + -66 + -20p = 6 + -66 Combine like terms: 66 + -66 = 0 0 + -20p = 6 + -66 -20p = 6 + -66 Combine like terms: 6 + -66 = -60 -20p = -60 Divide each side by '-20'. p = 3 Simplifying p = 3
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