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Simplifying 4p + 25 = 6(6 + -3) + -3(4 + -3p) Reorder the terms: 25 + 4p = 6(6 + -3) + -3(4 + -3p) Combine like terms: 6 + -3 = 3 25 + 4p = 6(3) + -3(4 + -3p) Multiply 6 * 3 25 + 4p = 18 + -3(4 + -3p) 25 + 4p = 18 + (4 * -3 + -3p * -3) 25 + 4p = 18 + (-12 + 9p) Combine like terms: 18 + -12 = 6 25 + 4p = 6 + 9p Solving 25 + 4p = 6 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 25 + 4p + -9p = 6 + 9p + -9p Combine like terms: 4p + -9p = -5p 25 + -5p = 6 + 9p + -9p Combine like terms: 9p + -9p = 0 25 + -5p = 6 + 0 25 + -5p = 6 Add '-25' to each side of the equation. 25 + -25 + -5p = 6 + -25 Combine like terms: 25 + -25 = 0 0 + -5p = 6 + -25 -5p = 6 + -25 Combine like terms: 6 + -25 = -19 -5p = -19 Divide each side by '-5'. p = 3.8 Simplifying p = 3.8
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