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Simplifying -4(3p + 2) + -22 = 3(2p + 8) Reorder the terms: -4(2 + 3p) + -22 = 3(2p + 8) (2 * -4 + 3p * -4) + -22 = 3(2p + 8) (-8 + -12p) + -22 = 3(2p + 8) Reorder the terms: -8 + -22 + -12p = 3(2p + 8) Combine like terms: -8 + -22 = -30 -30 + -12p = 3(2p + 8) Reorder the terms: -30 + -12p = 3(8 + 2p) -30 + -12p = (8 * 3 + 2p * 3) -30 + -12p = (24 + 6p) Solving -30 + -12p = 24 + 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. -30 + -12p + -6p = 24 + 6p + -6p Combine like terms: -12p + -6p = -18p -30 + -18p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + -18p = 24 + 0 -30 + -18p = 24 Add '30' to each side of the equation. -30 + 30 + -18p = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -18p = 24 + 30 -18p = 24 + 30 Combine like terms: 24 + 30 = 54 -18p = 54 Divide each side by '-18'. p = -3 Simplifying p = -3
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