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Simplifying -4(-6p + 3) = 3(-8 + 10p) Reorder the terms: -4(3 + -6p) = 3(-8 + 10p) (3 * -4 + -6p * -4) = 3(-8 + 10p) (-12 + 24p) = 3(-8 + 10p) -12 + 24p = (-8 * 3 + 10p * 3) -12 + 24p = (-24 + 30p) Solving -12 + 24p = -24 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. -12 + 24p + -30p = -24 + 30p + -30p Combine like terms: 24p + -30p = -6p -12 + -6p = -24 + 30p + -30p Combine like terms: 30p + -30p = 0 -12 + -6p = -24 + 0 -12 + -6p = -24 Add '12' to each side of the equation. -12 + 12 + -6p = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -6p = -24 + 12 -6p = -24 + 12 Combine like terms: -24 + 12 = -12 -6p = -12 Divide each side by '-6'. p = 2 Simplifying p = 2
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