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Simplifying 3p + 27 = 4(p + 4) + 8 Reorder the terms: 27 + 3p = 4(p + 4) + 8 Reorder the terms: 27 + 3p = 4(4 + p) + 8 27 + 3p = (4 * 4 + p * 4) + 8 27 + 3p = (16 + 4p) + 8 Reorder the terms: 27 + 3p = 16 + 8 + 4p Combine like terms: 16 + 8 = 24 27 + 3p = 24 + 4p Solving 27 + 3p = 24 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 27 + 3p + -4p = 24 + 4p + -4p Combine like terms: 3p + -4p = -1p 27 + -1p = 24 + 4p + -4p Combine like terms: 4p + -4p = 0 27 + -1p = 24 + 0 27 + -1p = 24 Add '-27' to each side of the equation. 27 + -27 + -1p = 24 + -27 Combine like terms: 27 + -27 = 0 0 + -1p = 24 + -27 -1p = 24 + -27 Combine like terms: 24 + -27 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3
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