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Simplifying 6p + -4(3 + -9) = -5p + 1 Combine like terms: 3 + -9 = -6 6p + -4(-6) = -5p + 1 Multiply -4 * -6 6p + 24 = -5p + 1 Reorder the terms: 24 + 6p = -5p + 1 Reorder the terms: 24 + 6p = 1 + -5p Solving 24 + 6p = 1 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 24 + 6p + 5p = 1 + -5p + 5p Combine like terms: 6p + 5p = 11p 24 + 11p = 1 + -5p + 5p Combine like terms: -5p + 5p = 0 24 + 11p = 1 + 0 24 + 11p = 1 Add '-24' to each side of the equation. 24 + -24 + 11p = 1 + -24 Combine like terms: 24 + -24 = 0 0 + 11p = 1 + -24 11p = 1 + -24 Combine like terms: 1 + -24 = -23 11p = -23 Divide each side by '11'. p = -2.090909091 Simplifying p = -2.090909091
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