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Simplifying 33 + 6p = 3p + -3(1 + -5p) 33 + 6p = 3p + (1 * -3 + -5p * -3) 33 + 6p = 3p + (-3 + 15p) Reorder the terms: 33 + 6p = -3 + 3p + 15p Combine like terms: 3p + 15p = 18p 33 + 6p = -3 + 18p Solving 33 + 6p = -3 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. 33 + 6p + -18p = -3 + 18p + -18p Combine like terms: 6p + -18p = -12p 33 + -12p = -3 + 18p + -18p Combine like terms: 18p + -18p = 0 33 + -12p = -3 + 0 33 + -12p = -3 Add '-33' to each side of the equation. 33 + -33 + -12p = -3 + -33 Combine like terms: 33 + -33 = 0 0 + -12p = -3 + -33 -12p = -3 + -33 Combine like terms: -3 + -33 = -36 -12p = -36 Divide each side by '-12'. p = 3 Simplifying p = 3
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