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Simplifying -6(4p + 3) + -36 = 2(3p + 3) Reorder the terms: -6(3 + 4p) + -36 = 2(3p + 3) (3 * -6 + 4p * -6) + -36 = 2(3p + 3) (-18 + -24p) + -36 = 2(3p + 3) Reorder the terms: -18 + -36 + -24p = 2(3p + 3) Combine like terms: -18 + -36 = -54 -54 + -24p = 2(3p + 3) Reorder the terms: -54 + -24p = 2(3 + 3p) -54 + -24p = (3 * 2 + 3p * 2) -54 + -24p = (6 + 6p) Solving -54 + -24p = 6 + 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. -54 + -24p + -6p = 6 + 6p + -6p Combine like terms: -24p + -6p = -30p -54 + -30p = 6 + 6p + -6p Combine like terms: 6p + -6p = 0 -54 + -30p = 6 + 0 -54 + -30p = 6 Add '54' to each side of the equation. -54 + 54 + -30p = 6 + 54 Combine like terms: -54 + 54 = 0 0 + -30p = 6 + 54 -30p = 6 + 54 Combine like terms: 6 + 54 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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