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Simplifying -6(2p + 3) + -22 = 4(3p + 8) Reorder the terms: -6(3 + 2p) + -22 = 4(3p + 8) (3 * -6 + 2p * -6) + -22 = 4(3p + 8) (-18 + -12p) + -22 = 4(3p + 8) Reorder the terms: -18 + -22 + -12p = 4(3p + 8) Combine like terms: -18 + -22 = -40 -40 + -12p = 4(3p + 8) Reorder the terms: -40 + -12p = 4(8 + 3p) -40 + -12p = (8 * 4 + 3p * 4) -40 + -12p = (32 + 12p) Solving -40 + -12p = 32 + 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. -40 + -12p + -12p = 32 + 12p + -12p Combine like terms: -12p + -12p = -24p -40 + -24p = 32 + 12p + -12p Combine like terms: 12p + -12p = 0 -40 + -24p = 32 + 0 -40 + -24p = 32 Add '40' to each side of the equation. -40 + 40 + -24p = 32 + 40 Combine like terms: -40 + 40 = 0 0 + -24p = 32 + 40 -24p = 32 + 40 Combine like terms: 32 + 40 = 72 -24p = 72 Divide each side by '-24'. p = -3 Simplifying p = -3
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