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Simplifying 5(3p + 3) + -6 = 12p + 28 Reorder the terms: 5(3 + 3p) + -6 = 12p + 28 (3 * 5 + 3p * 5) + -6 = 12p + 28 (15 + 15p) + -6 = 12p + 28 Reorder the terms: 15 + -6 + 15p = 12p + 28 Combine like terms: 15 + -6 = 9 9 + 15p = 12p + 28 Reorder the terms: 9 + 15p = 28 + 12p Solving 9 + 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. 9 + 15p + -12p = 28 + 12p + -12p Combine like terms: 15p + -12p = 3p 9 + 3p = 28 + 12p + -12p Combine like terms: 12p + -12p = 0 9 + 3p = 28 + 0 9 + 3p = 28 Add '-9' to each side of the equation. 9 + -9 + 3p = 28 + -9 Combine like terms: 9 + -9 = 0 0 + 3p = 28 + -9 3p = 28 + -9 Combine like terms: 28 + -9 = 19 3p = 19 Divide each side by '3'. p = 6.333333333 Simplifying p = 6.333333333
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