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Simplifying -4(12p + -2) = 2(-9p + 4) Reorder the terms: -4(-2 + 12p) = 2(-9p + 4) (-2 * -4 + 12p * -4) = 2(-9p + 4) (8 + -48p) = 2(-9p + 4) Reorder the terms: 8 + -48p = 2(4 + -9p) 8 + -48p = (4 * 2 + -9p * 2) 8 + -48p = (8 + -18p) Add '-8' to each side of the equation. 8 + -8 + -48p = 8 + -8 + -18p Combine like terms: 8 + -8 = 0 0 + -48p = 8 + -8 + -18p -48p = 8 + -8 + -18p Combine like terms: 8 + -8 = 0 -48p = 0 + -18p -48p = -18p Solving -48p = -18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. -48p + 18p = -18p + 18p Combine like terms: -48p + 18p = -30p -30p = -18p + 18p Combine like terms: -18p + 18p = 0 -30p = 0 Divide each side by '-30'. p = 0.0 Simplifying p = 0.0
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