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Simplifying 33 + -5p = 7(6p + -2) Reorder the terms: 33 + -5p = 7(-2 + 6p) 33 + -5p = (-2 * 7 + 6p * 7) 33 + -5p = (-14 + 42p) Solving 33 + -5p = -14 + 42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42p' to each side of the equation. 33 + -5p + -42p = -14 + 42p + -42p Combine like terms: -5p + -42p = -47p 33 + -47p = -14 + 42p + -42p Combine like terms: 42p + -42p = 0 33 + -47p = -14 + 0 33 + -47p = -14 Add '-33' to each side of the equation. 33 + -33 + -47p = -14 + -33 Combine like terms: 33 + -33 = 0 0 + -47p = -14 + -33 -47p = -14 + -33 Combine like terms: -14 + -33 = -47 -47p = -47 Divide each side by '-47'. p = 1 Simplifying p = 1
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