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Simplifying -4(5p + 3) + -28 = 5(4p + 8) Reorder the terms: -4(3 + 5p) + -28 = 5(4p + 8) (3 * -4 + 5p * -4) + -28 = 5(4p + 8) (-12 + -20p) + -28 = 5(4p + 8) Reorder the terms: -12 + -28 + -20p = 5(4p + 8) Combine like terms: -12 + -28 = -40 -40 + -20p = 5(4p + 8) Reorder the terms: -40 + -20p = 5(8 + 4p) -40 + -20p = (8 * 5 + 4p * 5) -40 + -20p = (40 + 20p) Solving -40 + -20p = 40 + 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 + -20p + -20p = 40 + 20p + -20p Combine like terms: -20p + -20p = -40p -40 + -40p = 40 + 20p + -20p Combine like terms: 20p + -20p = 0 -40 + -40p = 40 + 0 -40 + -40p = 40 Add '40' to each side of the equation. -40 + 40 + -40p = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -40p = 40 + 40 -40p = 40 + 40 Combine like terms: 40 + 40 = 80 -40p = 80 Divide each side by '-40'. p = -2 Simplifying p = -2
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