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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 = -5 -11p = -5 Divide each side by '-11'. p = 0.4545454545 Simplifying p = 0.4545454545
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