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Simplifying -6(2p + 3) + 15p + 2 = 5 + -4p Reorder the terms: -6(3 + 2p) + 15p + 2 = 5 + -4p (3 * -6 + 2p * -6) + 15p + 2 = 5 + -4p (-18 + -12p) + 15p + 2 = 5 + -4p Reorder the terms: -18 + 2 + -12p + 15p = 5 + -4p Combine like terms: -18 + 2 = -16 -16 + -12p + 15p = 5 + -4p Combine like terms: -12p + 15p = 3p -16 + 3p = 5 + -4p Solving -16 + 3p = 5 + -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. -16 + 3p + 4p = 5 + -4p + 4p Combine like terms: 3p + 4p = 7p -16 + 7p = 5 + -4p + 4p Combine like terms: -4p + 4p = 0 -16 + 7p = 5 + 0 -16 + 7p = 5 Add '16' to each side of the equation. -16 + 16 + 7p = 5 + 16 Combine like terms: -16 + 16 = 0 0 + 7p = 5 + 16 7p = 5 + 16 Combine like terms: 5 + 16 = 21 7p = 21 Divide each side by '7'. p = 3 Simplifying p = 3
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