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Simplifying -4(5p + 4) + -15 = 3(2p + 7) Reorder the terms: -4(4 + 5p) + -15 = 3(2p + 7) (4 * -4 + 5p * -4) + -15 = 3(2p + 7) (-16 + -20p) + -15 = 3(2p + 7) Reorder the terms: -16 + -15 + -20p = 3(2p + 7) Combine like terms: -16 + -15 = -31 -31 + -20p = 3(2p + 7) Reorder the terms: -31 + -20p = 3(7 + 2p) -31 + -20p = (7 * 3 + 2p * 3) -31 + -20p = (21 + 6p) Solving -31 + -20p = 21 + 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. -31 + -20p + -6p = 21 + 6p + -6p Combine like terms: -20p + -6p = -26p -31 + -26p = 21 + 6p + -6p Combine like terms: 6p + -6p = 0 -31 + -26p = 21 + 0 -31 + -26p = 21 Add '31' to each side of the equation. -31 + 31 + -26p = 21 + 31 Combine like terms: -31 + 31 = 0 0 + -26p = 21 + 31 -26p = 21 + 31 Combine like terms: 21 + 31 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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