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Simplifying -7(2p + 3) + -19 = 4(5p + 7) Reorder the terms: -7(3 + 2p) + -19 = 4(5p + 7) (3 * -7 + 2p * -7) + -19 = 4(5p + 7) (-21 + -14p) + -19 = 4(5p + 7) Reorder the terms: -21 + -19 + -14p = 4(5p + 7) Combine like terms: -21 + -19 = -40 -40 + -14p = 4(5p + 7) Reorder the terms: -40 + -14p = 4(7 + 5p) -40 + -14p = (7 * 4 + 5p * 4) -40 + -14p = (28 + 20p) Solving -40 + -14p = 28 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -40 + -14p + -20p = 28 + 20p + -20p Combine like terms: -14p + -20p = -34p -40 + -34p = 28 + 20p + -20p Combine like terms: 20p + -20p = 0 -40 + -34p = 28 + 0 -40 + -34p = 28 Add '40' to each side of the equation. -40 + 40 + -34p = 28 + 40 Combine like terms: -40 + 40 = 0 0 + -34p = 28 + 40 -34p = 28 + 40 Combine like terms: 28 + 40 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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