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Simplifying -5(4p + 3) + -19 = 3(2p + 6) Reorder the terms: -5(3 + 4p) + -19 = 3(2p + 6) (3 * -5 + 4p * -5) + -19 = 3(2p + 6) (-15 + -20p) + -19 = 3(2p + 6) Reorder the terms: -15 + -19 + -20p = 3(2p + 6) Combine like terms: -15 + -19 = -34 -34 + -20p = 3(2p + 6) Reorder the terms: -34 + -20p = 3(6 + 2p) -34 + -20p = (6 * 3 + 2p * 3) -34 + -20p = (18 + 6p) Solving -34 + -20p = 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. -34 + -20p + -6p = 18 + 6p + -6p Combine like terms: -20p + -6p = -26p -34 + -26p = 18 + 6p + -6p Combine like terms: 6p + -6p = 0 -34 + -26p = 18 + 0 -34 + -26p = 18 Add '34' to each side of the equation. -34 + 34 + -26p = 18 + 34 Combine like terms: -34 + 34 = 0 0 + -26p = 18 + 34 -26p = 18 + 34 Combine like terms: 18 + 34 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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