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Simplifying 191 = 5(4p + 6) + 1 Reorder the terms: 191 = 5(6 + 4p) + 1 191 = (6 * 5 + 4p * 5) + 1 191 = (30 + 20p) + 1 Reorder the terms: 191 = 30 + 1 + 20p Combine like terms: 30 + 1 = 31 191 = 31 + 20p Solving 191 = 31 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 191 + -20p = 31 + 20p + -20p Combine like terms: 20p + -20p = 0 191 + -20p = 31 + 0 191 + -20p = 31 Add '-191' to each side of the equation. 191 + -191 + -20p = 31 + -191 Combine like terms: 191 + -191 = 0 0 + -20p = 31 + -191 -20p = 31 + -191 Combine like terms: 31 + -191 = -160 -20p = -160 Divide each side by '-20'. p = 8 Simplifying p = 8
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