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Simplifying 7 = 3(p + 1) + -1 Reorder the terms: 7 = 3(1 + p) + -1 7 = (1 * 3 + p * 3) + -1 7 = (3 + 3p) + -1 Reorder the terms: 7 = 3 + -1 + 3p Combine like terms: 3 + -1 = 2 7 = 2 + 3p Solving 7 = 2 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 7 + -3p = 2 + 3p + -3p Combine like terms: 3p + -3p = 0 7 + -3p = 2 + 0 7 + -3p = 2 Add '-7' to each side of the equation. 7 + -7 + -3p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = 2 + -7 -3p = 2 + -7 Combine like terms: 2 + -7 = -5 -3p = -5 Divide each side by '-3'. p = 1.666666667 Simplifying p = 1.666666667
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