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Simplifying 3(5p + 6) + -4(p + 3) = 0 Reorder the terms: 3(6 + 5p) + -4(p + 3) = 0 (6 * 3 + 5p * 3) + -4(p + 3) = 0 (18 + 15p) + -4(p + 3) = 0 Reorder the terms: 18 + 15p + -4(3 + p) = 0 18 + 15p + (3 * -4 + p * -4) = 0 18 + 15p + (-12 + -4p) = 0 Reorder the terms: 18 + -12 + 15p + -4p = 0 Combine like terms: 18 + -12 = 6 6 + 15p + -4p = 0 Combine like terms: 15p + -4p = 11p 6 + 11p = 0 Solving 6 + 11p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 11p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 11p = 0 + -6 11p = 0 + -6 Combine like terms: 0 + -6 = -6 11p = -6 Divide each side by '11'. p = -0.5454545455 Simplifying p = -0.5454545455
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