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Simplifying -6(4p + 3) + -30 = 2(3p + 6) Reorder the terms: -6(3 + 4p) + -30 = 2(3p + 6) (3 * -6 + 4p * -6) + -30 = 2(3p + 6) (-18 + -24p) + -30 = 2(3p + 6) Reorder the terms: -18 + -30 + -24p = 2(3p + 6) Combine like terms: -18 + -30 = -48 -48 + -24p = 2(3p + 6) Reorder the terms: -48 + -24p = 2(6 + 3p) -48 + -24p = (6 * 2 + 3p * 2) -48 + -24p = (12 + 6p) Solving -48 + -24p = 12 + 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. -48 + -24p + -6p = 12 + 6p + -6p Combine like terms: -24p + -6p = -30p -48 + -30p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -48 + -30p = 12 + 0 -48 + -30p = 12 Add '48' to each side of the equation. -48 + 48 + -30p = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -30p = 12 + 48 -30p = 12 + 48 Combine like terms: 12 + 48 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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