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Simplifying 5(3p + 2) + -6 = 12p + 28 Reorder the terms: 5(2 + 3p) + -6 = 12p + 28 (2 * 5 + 3p * 5) + -6 = 12p + 28 (10 + 15p) + -6 = 12p + 28 Reorder the terms: 10 + -6 + 15p = 12p + 28 Combine like terms: 10 + -6 = 4 4 + 15p = 12p + 28 Reorder the terms: 4 + 15p = 28 + 12p Solving 4 + 15p = 28 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 4 + 15p + -12p = 28 + 12p + -12p Combine like terms: 15p + -12p = 3p 4 + 3p = 28 + 12p + -12p Combine like terms: 12p + -12p = 0 4 + 3p = 28 + 0 4 + 3p = 28 Add '-4' to each side of the equation. 4 + -4 + 3p = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 28 + -4 3p = 28 + -4 Combine like terms: 28 + -4 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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