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Simplifying 6(p + -12) = 2(-6 + 18p) Reorder the terms: 6(-12 + p) = 2(-6 + 18p) (-12 * 6 + p * 6) = 2(-6 + 18p) (-72 + 6p) = 2(-6 + 18p) -72 + 6p = (-6 * 2 + 18p * 2) -72 + 6p = (-12 + 36p) Solving -72 + 6p = -12 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. -72 + 6p + -36p = -12 + 36p + -36p Combine like terms: 6p + -36p = -30p -72 + -30p = -12 + 36p + -36p Combine like terms: 36p + -36p = 0 -72 + -30p = -12 + 0 -72 + -30p = -12 Add '72' to each side of the equation. -72 + 72 + -30p = -12 + 72 Combine like terms: -72 + 72 = 0 0 + -30p = -12 + 72 -30p = -12 + 72 Combine like terms: -12 + 72 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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