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Simplifying -4(3p + 3) + -27 = 3(2p + 5) Reorder the terms: -4(3 + 3p) + -27 = 3(2p + 5) (3 * -4 + 3p * -4) + -27 = 3(2p + 5) (-12 + -12p) + -27 = 3(2p + 5) Reorder the terms: -12 + -27 + -12p = 3(2p + 5) Combine like terms: -12 + -27 = -39 -39 + -12p = 3(2p + 5) Reorder the terms: -39 + -12p = 3(5 + 2p) -39 + -12p = (5 * 3 + 2p * 3) -39 + -12p = (15 + 6p) Solving -39 + -12p = 15 + 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. -39 + -12p + -6p = 15 + 6p + -6p Combine like terms: -12p + -6p = -18p -39 + -18p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 -39 + -18p = 15 + 0 -39 + -18p = 15 Add '39' to each side of the equation. -39 + 39 + -18p = 15 + 39 Combine like terms: -39 + 39 = 0 0 + -18p = 15 + 39 -18p = 15 + 39 Combine like terms: 15 + 39 = 54 -18p = 54 Divide each side by '-18'. p = -3 Simplifying p = -3
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