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Simplifying -7(2p + 3) + -11 = 4(3p + 5) Reorder the terms: -7(3 + 2p) + -11 = 4(3p + 5) (3 * -7 + 2p * -7) + -11 = 4(3p + 5) (-21 + -14p) + -11 = 4(3p + 5) Reorder the terms: -21 + -11 + -14p = 4(3p + 5) Combine like terms: -21 + -11 = -32 -32 + -14p = 4(3p + 5) Reorder the terms: -32 + -14p = 4(5 + 3p) -32 + -14p = (5 * 4 + 3p * 4) -32 + -14p = (20 + 12p) Solving -32 + -14p = 20 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -32 + -14p + -12p = 20 + 12p + -12p Combine like terms: -14p + -12p = -26p -32 + -26p = 20 + 12p + -12p Combine like terms: 12p + -12p = 0 -32 + -26p = 20 + 0 -32 + -26p = 20 Add '32' to each side of the equation. -32 + 32 + -26p = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -26p = 20 + 32 -26p = 20 + 32 Combine like terms: 20 + 32 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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