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Simplifying -6(2p + 3) + -11 = 5(4p + 7) Reorder the terms: -6(3 + 2p) + -11 = 5(4p + 7) (3 * -6 + 2p * -6) + -11 = 5(4p + 7) (-18 + -12p) + -11 = 5(4p + 7) Reorder the terms: -18 + -11 + -12p = 5(4p + 7) Combine like terms: -18 + -11 = -29 -29 + -12p = 5(4p + 7) Reorder the terms: -29 + -12p = 5(7 + 4p) -29 + -12p = (7 * 5 + 4p * 5) -29 + -12p = (35 + 20p) Solving -29 + -12p = 35 + 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. -29 + -12p + -20p = 35 + 20p + -20p Combine like terms: -12p + -20p = -32p -29 + -32p = 35 + 20p + -20p Combine like terms: 20p + -20p = 0 -29 + -32p = 35 + 0 -29 + -32p = 35 Add '29' to each side of the equation. -29 + 29 + -32p = 35 + 29 Combine like terms: -29 + 29 = 0 0 + -32p = 35 + 29 -32p = 35 + 29 Combine like terms: 35 + 29 = 64 -32p = 64 Divide each side by '-32'. p = -2 Simplifying p = -2
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