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Simplifying 8p + 18 = 7(4p + -6) Reorder the terms: 18 + 8p = 7(4p + -6) Reorder the terms: 18 + 8p = 7(-6 + 4p) 18 + 8p = (-6 * 7 + 4p * 7) 18 + 8p = (-42 + 28p) Solving 18 + 8p = -42 + 28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28p' to each side of the equation. 18 + 8p + -28p = -42 + 28p + -28p Combine like terms: 8p + -28p = -20p 18 + -20p = -42 + 28p + -28p Combine like terms: 28p + -28p = 0 18 + -20p = -42 + 0 18 + -20p = -42 Add '-18' to each side of the equation. 18 + -18 + -20p = -42 + -18 Combine like terms: 18 + -18 = 0 0 + -20p = -42 + -18 -20p = -42 + -18 Combine like terms: -42 + -18 = -60 -20p = -60 Divide each side by '-20'. p = 3 Simplifying p = 3
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