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Simplifying 6p + 3(3 + 6p) = -4p + -19 6p + (3 * 3 + 6p * 3) = -4p + -19 6p + (9 + 18p) = -4p + -19 Reorder the terms: 9 + 6p + 18p = -4p + -19 Combine like terms: 6p + 18p = 24p 9 + 24p = -4p + -19 Reorder the terms: 9 + 24p = -19 + -4p Solving 9 + 24p = -19 + -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. 9 + 24p + 4p = -19 + -4p + 4p Combine like terms: 24p + 4p = 28p 9 + 28p = -19 + -4p + 4p Combine like terms: -4p + 4p = 0 9 + 28p = -19 + 0 9 + 28p = -19 Add '-9' to each side of the equation. 9 + -9 + 28p = -19 + -9 Combine like terms: 9 + -9 = 0 0 + 28p = -19 + -9 28p = -19 + -9 Combine like terms: -19 + -9 = -28 28p = -28 Divide each side by '28'. p = -1 Simplifying p = -1
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