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Simplifying 4p + 25 = 6(p + -3) + -3(4 + -3p) Reorder the terms: 25 + 4p = 6(p + -3) + -3(4 + -3p) Reorder the terms: 25 + 4p = 6(-3 + p) + -3(4 + -3p) 25 + 4p = (-3 * 6 + p * 6) + -3(4 + -3p) 25 + 4p = (-18 + 6p) + -3(4 + -3p) 25 + 4p = -18 + 6p + (4 * -3 + -3p * -3) 25 + 4p = -18 + 6p + (-12 + 9p) Reorder the terms: 25 + 4p = -18 + -12 + 6p + 9p Combine like terms: -18 + -12 = -30 25 + 4p = -30 + 6p + 9p Combine like terms: 6p + 9p = 15p 25 + 4p = -30 + 15p Solving 25 + 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. 25 + 4p + -15p = -30 + 15p + -15p Combine like terms: 4p + -15p = -11p 25 + -11p = -30 + 15p + -15p Combine like terms: 15p + -15p = 0 25 + -11p = -30 + 0 25 + -11p = -30 Add '-25' to each side of the equation. 25 + -25 + -11p = -30 + -25 Combine like terms: 25 + -25 = 0 0 + -11p = -30 + -25 -11p = -30 + -25 Combine like terms: -30 + -25 = -55 -11p = -55 Divide each side by '-11'. p = 5 Simplifying p = 5
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