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Simplifying 2(3.5 + 5) = 7(p + 1) Combine like terms: 3.5 + 5 = 8.5 2(8.5) = 7(p + 1) Multiply 2 * 8.5 17 = 7(p + 1) Reorder the terms: 17 = 7(1 + p) 17 = (1 * 7 + p * 7) 17 = (7 + 7p) Solving 17 = 7 + 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. 17 + -7p = 7 + 7p + -7p Combine like terms: 7p + -7p = 0 17 + -7p = 7 + 0 17 + -7p = 7 Add '-17' to each side of the equation. 17 + -17 + -7p = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -7p = 7 + -17 -7p = 7 + -17 Combine like terms: 7 + -17 = -10 -7p = -10 Divide each side by '-7'. p = 1.428571429 Simplifying p = 1.428571429
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