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Simplifying 4p + 3(p + 4) = 12 + 12 Reorder the terms: 4p + 3(4 + p) = 12 + 12 4p + (4 * 3 + p * 3) = 12 + 12 4p + (12 + 3p) = 12 + 12 Reorder the terms: 12 + 4p + 3p = 12 + 12 Combine like terms: 4p + 3p = 7p 12 + 7p = 12 + 12 Combine like terms: 12 + 12 = 24 12 + 7p = 24 Solving 12 + 7p = 24 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7p = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 7p = 24 + -12 7p = 24 + -12 Combine like terms: 24 + -12 = 12 7p = 12 Divide each side by '7'. p = 1.714285714 Simplifying p = 1.714285714
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