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Simplifying 33 + p = 3(-5 + 1) + 6p Combine like terms: -5 + 1 = -4 33 + p = 3(-4) + 6p Multiply 3 * -4 33 + p = -12 + 6p Solving 33 + p = -12 + 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. 33 + p + -6p = -12 + 6p + -6p Combine like terms: p + -6p = -5p 33 + -5p = -12 + 6p + -6p Combine like terms: 6p + -6p = 0 33 + -5p = -12 + 0 33 + -5p = -12 Add '-33' to each side of the equation. 33 + -33 + -5p = -12 + -33 Combine like terms: 33 + -33 = 0 0 + -5p = -12 + -33 -5p = -12 + -33 Combine like terms: -12 + -33 = -45 -5p = -45 Divide each side by '-5'. p = 9 Simplifying p = 9
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