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Simplifying -4(3p + 2) + -28 = 3(2p + 6) Reorder the terms: -4(2 + 3p) + -28 = 3(2p + 6) (2 * -4 + 3p * -4) + -28 = 3(2p + 6) (-8 + -12p) + -28 = 3(2p + 6) Reorder the terms: -8 + -28 + -12p = 3(2p + 6) Combine like terms: -8 + -28 = -36 -36 + -12p = 3(2p + 6) Reorder the terms: -36 + -12p = 3(6 + 2p) -36 + -12p = (6 * 3 + 2p * 3) -36 + -12p = (18 + 6p) Solving -36 + -12p = 18 + 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. -36 + -12p + -6p = 18 + 6p + -6p Combine like terms: -12p + -6p = -18p -36 + -18p = 18 + 6p + -6p Combine like terms: 6p + -6p = 0 -36 + -18p = 18 + 0 -36 + -18p = 18 Add '36' to each side of the equation. -36 + 36 + -18p = 18 + 36 Combine like terms: -36 + 36 = 0 0 + -18p = 18 + 36 -18p = 18 + 36 Combine like terms: 18 + 36 = 54 -18p = 54 Divide each side by '-18'. p = -3 Simplifying p = -3
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