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Simplifying -4(8p + 1) = -30 + -6p Reorder the terms: -4(1 + 8p) = -30 + -6p (1 * -4 + 8p * -4) = -30 + -6p (-4 + -32p) = -30 + -6p Solving -4 + -32p = -30 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -4 + -32p + 6p = -30 + -6p + 6p Combine like terms: -32p + 6p = -26p -4 + -26p = -30 + -6p + 6p Combine like terms: -6p + 6p = 0 -4 + -26p = -30 + 0 -4 + -26p = -30 Add '4' to each side of the equation. -4 + 4 + -26p = -30 + 4 Combine like terms: -4 + 4 = 0 0 + -26p = -30 + 4 -26p = -30 + 4 Combine like terms: -30 + 4 = -26 -26p = -26 Divide each side by '-26'. p = 1 Simplifying p = 1
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