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Simplifying -5(4p + 4) + -36 = 4(5p + 6) Reorder the terms: -5(4 + 4p) + -36 = 4(5p + 6) (4 * -5 + 4p * -5) + -36 = 4(5p + 6) (-20 + -20p) + -36 = 4(5p + 6) Reorder the terms: -20 + -36 + -20p = 4(5p + 6) Combine like terms: -20 + -36 = -56 -56 + -20p = 4(5p + 6) Reorder the terms: -56 + -20p = 4(6 + 5p) -56 + -20p = (6 * 4 + 5p * 4) -56 + -20p = (24 + 20p) Solving -56 + -20p = 24 + 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. -56 + -20p + -20p = 24 + 20p + -20p Combine like terms: -20p + -20p = -40p -56 + -40p = 24 + 20p + -20p Combine like terms: 20p + -20p = 0 -56 + -40p = 24 + 0 -56 + -40p = 24 Add '56' to each side of the equation. -56 + 56 + -40p = 24 + 56 Combine like terms: -56 + 56 = 0 0 + -40p = 24 + 56 -40p = 24 + 56 Combine like terms: 24 + 56 = 80 -40p = 80 Divide each side by '-40'. p = -2 Simplifying p = -2
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