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Simplifying -6(p + 4) = -4(-7 + 8p) Reorder the terms: -6(4 + p) = -4(-7 + 8p) (4 * -6 + p * -6) = -4(-7 + 8p) (-24 + -6p) = -4(-7 + 8p) -24 + -6p = (-7 * -4 + 8p * -4) -24 + -6p = (28 + -32p) Solving -24 + -6p = 28 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. -24 + -6p + 32p = 28 + -32p + 32p Combine like terms: -6p + 32p = 26p -24 + 26p = 28 + -32p + 32p Combine like terms: -32p + 32p = 0 -24 + 26p = 28 + 0 -24 + 26p = 28 Add '24' to each side of the equation. -24 + 24 + 26p = 28 + 24 Combine like terms: -24 + 24 = 0 0 + 26p = 28 + 24 26p = 28 + 24 Combine like terms: 28 + 24 = 52 26p = 52 Divide each side by '26'. p = 2 Simplifying p = 2
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