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Simplifying 10 = 3(p + 1) + 1 Reorder the terms: 10 = 3(1 + p) + 1 10 = (1 * 3 + p * 3) + 1 10 = (3 + 3p) + 1 Reorder the terms: 10 = 3 + 1 + 3p Combine like terms: 3 + 1 = 4 10 = 4 + 3p Solving 10 = 4 + 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. 10 + -3p = 4 + 3p + -3p Combine like terms: 3p + -3p = 0 10 + -3p = 4 + 0 10 + -3p = 4 Add '-10' to each side of the equation. 10 + -10 + -3p = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -3p = 4 + -10 -3p = 4 + -10 Combine like terms: 4 + -10 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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