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Simplifying -6(2p + 3) + -36 = 3(3p + 3) Reorder the terms: -6(3 + 2p) + -36 = 3(3p + 3) (3 * -6 + 2p * -6) + -36 = 3(3p + 3) (-18 + -12p) + -36 = 3(3p + 3) Reorder the terms: -18 + -36 + -12p = 3(3p + 3) Combine like terms: -18 + -36 = -54 -54 + -12p = 3(3p + 3) Reorder the terms: -54 + -12p = 3(3 + 3p) -54 + -12p = (3 * 3 + 3p * 3) -54 + -12p = (9 + 9p) Solving -54 + -12p = 9 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -54 + -12p + -9p = 9 + 9p + -9p Combine like terms: -12p + -9p = -21p -54 + -21p = 9 + 9p + -9p Combine like terms: 9p + -9p = 0 -54 + -21p = 9 + 0 -54 + -21p = 9 Add '54' to each side of the equation. -54 + 54 + -21p = 9 + 54 Combine like terms: -54 + 54 = 0 0 + -21p = 9 + 54 -21p = 9 + 54 Combine like terms: 9 + 54 = 63 -21p = 63 Divide each side by '-21'. p = -3 Simplifying p = -3
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