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Simplifying p + 23 = 2(4 + 3p) Reorder the terms: 23 + p = 2(4 + 3p) 23 + p = (4 * 2 + 3p * 2) 23 + p = (8 + 6p) Solving 23 + p = 8 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 23 + p + -6p = 8 + 6p + -6p Combine like terms: p + -6p = -5p 23 + -5p = 8 + 6p + -6p Combine like terms: 6p + -6p = 0 23 + -5p = 8 + 0 23 + -5p = 8 Add '-23' to each side of the equation. 23 + -23 + -5p = 8 + -23 Combine like terms: 23 + -23 = 0 0 + -5p = 8 + -23 -5p = 8 + -23 Combine like terms: 8 + -23 = -15 -5p = -15 Divide each side by '-5'. p = 3 Simplifying p = 3
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