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Simplifying -5(2p + 4) + -19 = 3(3p + 6) Reorder the terms: -5(4 + 2p) + -19 = 3(3p + 6) (4 * -5 + 2p * -5) + -19 = 3(3p + 6) (-20 + -10p) + -19 = 3(3p + 6) Reorder the terms: -20 + -19 + -10p = 3(3p + 6) Combine like terms: -20 + -19 = -39 -39 + -10p = 3(3p + 6) Reorder the terms: -39 + -10p = 3(6 + 3p) -39 + -10p = (6 * 3 + 3p * 3) -39 + -10p = (18 + 9p) Solving -39 + -10p = 18 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -39 + -10p + -9p = 18 + 9p + -9p Combine like terms: -10p + -9p = -19p -39 + -19p = 18 + 9p + -9p Combine like terms: 9p + -9p = 0 -39 + -19p = 18 + 0 -39 + -19p = 18 Add '39' to each side of the equation. -39 + 39 + -19p = 18 + 39 Combine like terms: -39 + 39 = 0 0 + -19p = 18 + 39 -19p = 18 + 39 Combine like terms: 18 + 39 = 57 -19p = 57 Divide each side by '-19'. p = -3 Simplifying p = -3
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