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Simplifying -5(4p + 3) + -25 = 2(3p + 6) Reorder the terms: -5(3 + 4p) + -25 = 2(3p + 6) (3 * -5 + 4p * -5) + -25 = 2(3p + 6) (-15 + -20p) + -25 = 2(3p + 6) Reorder the terms: -15 + -25 + -20p = 2(3p + 6) Combine like terms: -15 + -25 = -40 -40 + -20p = 2(3p + 6) Reorder the terms: -40 + -20p = 2(6 + 3p) -40 + -20p = (6 * 2 + 3p * 2) -40 + -20p = (12 + 6p) Solving -40 + -20p = 12 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -40 + -20p + -6p = 12 + 6p + -6p Combine like terms: -20p + -6p = -26p -40 + -26p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -40 + -26p = 12 + 0 -40 + -26p = 12 Add '40' to each side of the equation. -40 + 40 + -26p = 12 + 40 Combine like terms: -40 + 40 = 0 0 + -26p = 12 + 40 -26p = 12 + 40 Combine like terms: 12 + 40 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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