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Simplifying 33 + p = 3(-5p + 1) + 6p Reorder the terms: 33 + p = 3(1 + -5p) + 6p 33 + p = (1 * 3 + -5p * 3) + 6p 33 + p = (3 + -15p) + 6p Combine like terms: -15p + 6p = -9p 33 + p = 3 + -9p Solving 33 + p = 3 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 33 + p + 9p = 3 + -9p + 9p Combine like terms: p + 9p = 10p 33 + 10p = 3 + -9p + 9p Combine like terms: -9p + 9p = 0 33 + 10p = 3 + 0 33 + 10p = 3 Add '-33' to each side of the equation. 33 + -33 + 10p = 3 + -33 Combine like terms: 33 + -33 = 0 0 + 10p = 3 + -33 10p = 3 + -33 Combine like terms: 3 + -33 = -30 10p = -30 Divide each side by '10'. p = -3 Simplifying p = -3
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