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Simplifying -3(5p + -1) = -33 + -6p Reorder the terms: -3(-1 + 5p) = -33 + -6p (-1 * -3 + 5p * -3) = -33 + -6p (3 + -15p) = -33 + -6p Solving 3 + -15p = -33 + -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. 3 + -15p + 6p = -33 + -6p + 6p Combine like terms: -15p + 6p = -9p 3 + -9p = -33 + -6p + 6p Combine like terms: -6p + 6p = 0 3 + -9p = -33 + 0 3 + -9p = -33 Add '-3' to each side of the equation. 3 + -3 + -9p = -33 + -3 Combine like terms: 3 + -3 = 0 0 + -9p = -33 + -3 -9p = -33 + -3 Combine like terms: -33 + -3 = -36 -9p = -36 Divide each side by '-9'. p = 4 Simplifying p = 4
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