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Simplifying 4p + 24 = 6(p + -3) + -3(4 + -3p) Reorder the terms: 24 + 4p = 6(p + -3) + -3(4 + -3p) Reorder the terms: 24 + 4p = 6(-3 + p) + -3(4 + -3p) 24 + 4p = (-3 * 6 + p * 6) + -3(4 + -3p) 24 + 4p = (-18 + 6p) + -3(4 + -3p) 24 + 4p = -18 + 6p + (4 * -3 + -3p * -3) 24 + 4p = -18 + 6p + (-12 + 9p) Reorder the terms: 24 + 4p = -18 + -12 + 6p + 9p Combine like terms: -18 + -12 = -30 24 + 4p = -30 + 6p + 9p Combine like terms: 6p + 9p = 15p 24 + 4p = -30 + 15p Solving 24 + 4p = -30 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 24 + 4p + -15p = -30 + 15p + -15p Combine like terms: 4p + -15p = -11p 24 + -11p = -30 + 15p + -15p Combine like terms: 15p + -15p = 0 24 + -11p = -30 + 0 24 + -11p = -30 Add '-24' to each side of the equation. 24 + -24 + -11p = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -11p = -30 + -24 -11p = -30 + -24 Combine like terms: -30 + -24 = -54 -11p = -54 Divide each side by '-11'. p = 4.909090909 Simplifying p = 4.909090909
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