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Simplifying 2(3.5 + 0.5) = 7(p + 1) Combine like terms: 3.5 + 0.5 = 4 2(4) = 7(p + 1) Multiply 2 * 4 8 = 7(p + 1) Reorder the terms: 8 = 7(1 + p) 8 = (1 * 7 + p * 7) 8 = (7 + 7p) Solving 8 = 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. 8 + -7p = 7 + 7p + -7p Combine like terms: 7p + -7p = 0 8 + -7p = 7 + 0 8 + -7p = 7 Add '-8' to each side of the equation. 8 + -8 + -7p = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -7p = 7 + -8 -7p = 7 + -8 Combine like terms: 7 + -8 = -1 -7p = -1 Divide each side by '-7'. p = 0.1428571429 Simplifying p = 0.1428571429
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