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Simplifying -3p + 29 = 2 + 3(p + 1) Reorder the terms: 29 + -3p = 2 + 3(p + 1) Reorder the terms: 29 + -3p = 2 + 3(1 + p) 29 + -3p = 2 + (1 * 3 + p * 3) 29 + -3p = 2 + (3 + 3p) Combine like terms: 2 + 3 = 5 29 + -3p = 5 + 3p Solving 29 + -3p = 5 + 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. 29 + -3p + -3p = 5 + 3p + -3p Combine like terms: -3p + -3p = -6p 29 + -6p = 5 + 3p + -3p Combine like terms: 3p + -3p = 0 29 + -6p = 5 + 0 29 + -6p = 5 Add '-29' to each side of the equation. 29 + -29 + -6p = 5 + -29 Combine like terms: 29 + -29 = 0 0 + -6p = 5 + -29 -6p = 5 + -29 Combine like terms: 5 + -29 = -24 -6p = -24 Divide each side by '-6'. p = 4 Simplifying p = 4
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