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Simplifying -2(3p + -6) = 4(3p + -6) Reorder the terms: -2(-6 + 3p) = 4(3p + -6) (-6 * -2 + 3p * -2) = 4(3p + -6) (12 + -6p) = 4(3p + -6) Reorder the terms: 12 + -6p = 4(-6 + 3p) 12 + -6p = (-6 * 4 + 3p * 4) 12 + -6p = (-24 + 12p) Solving 12 + -6p = -24 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 12 + -6p + -12p = -24 + 12p + -12p Combine like terms: -6p + -12p = -18p 12 + -18p = -24 + 12p + -12p Combine like terms: 12p + -12p = 0 12 + -18p = -24 + 0 12 + -18p = -24 Add '-12' to each side of the equation. 12 + -12 + -18p = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -18p = -24 + -12 -18p = -24 + -12 Combine like terms: -24 + -12 = -36 -18p = -36 Divide each side by '-18'. p = 2 Simplifying p = 2
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