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Simplifying 6(p + -3) + -3(4 + -3p) = 25 + 4p Reorder the terms: 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) = 25 + 4p Reorder the terms: -18 + -12 + 6p + 9p = 25 + 4p Combine like terms: -18 + -12 = -30 -30 + 6p + 9p = 25 + 4p Combine like terms: 6p + 9p = 15p -30 + 15p = 25 + 4p Solving -30 + 15p = 25 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -30 + 15p + -4p = 25 + 4p + -4p Combine like terms: 15p + -4p = 11p -30 + 11p = 25 + 4p + -4p Combine like terms: 4p + -4p = 0 -30 + 11p = 25 + 0 -30 + 11p = 25 Add '30' to each side of the equation. -30 + 30 + 11p = 25 + 30 Combine like terms: -30 + 30 = 0 0 + 11p = 25 + 30 11p = 25 + 30 Combine like terms: 25 + 30 = 55 11p = 55 Divide each side by '11'. p = 5 Simplifying p = 5
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