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Simplifying -7(8 + -3p) + -1 = 6p + 33 (8 * -7 + -3p * -7) + -1 = 6p + 33 (-56 + 21p) + -1 = 6p + 33 Reorder the terms: -56 + -1 + 21p = 6p + 33 Combine like terms: -56 + -1 = -57 -57 + 21p = 6p + 33 Reorder the terms: -57 + 21p = 33 + 6p Solving -57 + 21p = 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. -57 + 21p + -6p = 33 + 6p + -6p Combine like terms: 21p + -6p = 15p -57 + 15p = 33 + 6p + -6p Combine like terms: 6p + -6p = 0 -57 + 15p = 33 + 0 -57 + 15p = 33 Add '57' to each side of the equation. -57 + 57 + 15p = 33 + 57 Combine like terms: -57 + 57 = 0 0 + 15p = 33 + 57 15p = 33 + 57 Combine like terms: 33 + 57 = 90 15p = 90 Divide each side by '15'. p = 6 Simplifying p = 6
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