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Simplifying -5(5p + 4) + -34 = 4(2p + 3) Reorder the terms: -5(4 + 5p) + -34 = 4(2p + 3) (4 * -5 + 5p * -5) + -34 = 4(2p + 3) (-20 + -25p) + -34 = 4(2p + 3) Reorder the terms: -20 + -34 + -25p = 4(2p + 3) Combine like terms: -20 + -34 = -54 -54 + -25p = 4(2p + 3) Reorder the terms: -54 + -25p = 4(3 + 2p) -54 + -25p = (3 * 4 + 2p * 4) -54 + -25p = (12 + 8p) Solving -54 + -25p = 12 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -54 + -25p + -8p = 12 + 8p + -8p Combine like terms: -25p + -8p = -33p -54 + -33p = 12 + 8p + -8p Combine like terms: 8p + -8p = 0 -54 + -33p = 12 + 0 -54 + -33p = 12 Add '54' to each side of the equation. -54 + 54 + -33p = 12 + 54 Combine like terms: -54 + 54 = 0 0 + -33p = 12 + 54 -33p = 12 + 54 Combine like terms: 12 + 54 = 66 -33p = 66 Divide each side by '-33'. p = -2 Simplifying p = -2
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