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Simplifying -5(3p + 4) + -4 = 3(2p + 6) Reorder the terms: -5(4 + 3p) + -4 = 3(2p + 6) (4 * -5 + 3p * -5) + -4 = 3(2p + 6) (-20 + -15p) + -4 = 3(2p + 6) Reorder the terms: -20 + -4 + -15p = 3(2p + 6) Combine like terms: -20 + -4 = -24 -24 + -15p = 3(2p + 6) Reorder the terms: -24 + -15p = 3(6 + 2p) -24 + -15p = (6 * 3 + 2p * 3) -24 + -15p = (18 + 6p) Solving -24 + -15p = 18 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -24 + -15p + -6p = 18 + 6p + -6p Combine like terms: -15p + -6p = -21p -24 + -21p = 18 + 6p + -6p Combine like terms: 6p + -6p = 0 -24 + -21p = 18 + 0 -24 + -21p = 18 Add '24' to each side of the equation. -24 + 24 + -21p = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -21p = 18 + 24 -21p = 18 + 24 Combine like terms: 18 + 24 = 42 -21p = 42 Divide each side by '-21'. p = -2 Simplifying p = -2
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