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Simplifying -6(2p + 3) + -22 = 4(5p + 6) Reorder the terms: -6(3 + 2p) + -22 = 4(5p + 6) (3 * -6 + 2p * -6) + -22 = 4(5p + 6) (-18 + -12p) + -22 = 4(5p + 6) Reorder the terms: -18 + -22 + -12p = 4(5p + 6) Combine like terms: -18 + -22 = -40 -40 + -12p = 4(5p + 6) Reorder the terms: -40 + -12p = 4(6 + 5p) -40 + -12p = (6 * 4 + 5p * 4) -40 + -12p = (24 + 20p) Solving -40 + -12p = 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. -40 + -12p + -20p = 24 + 20p + -20p Combine like terms: -12p + -20p = -32p -40 + -32p = 24 + 20p + -20p Combine like terms: 20p + -20p = 0 -40 + -32p = 24 + 0 -40 + -32p = 24 Add '40' to each side of the equation. -40 + 40 + -32p = 24 + 40 Combine like terms: -40 + 40 = 0 0 + -32p = 24 + 40 -32p = 24 + 40 Combine like terms: 24 + 40 = 64 -32p = 64 Divide each side by '-32'. p = -2 Simplifying p = -2
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