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Simplifying 4p + 25 = 6(p + -3) + -1(4 + -3p) Reorder the terms: 25 + 4p = 6(p + -3) + -1(4 + -3p) Reorder the terms: 25 + 4p = 6(-3 + p) + -1(4 + -3p) 25 + 4p = (-3 * 6 + p * 6) + -1(4 + -3p) 25 + 4p = (-18 + 6p) + -1(4 + -3p) 25 + 4p = -18 + 6p + (4 * -1 + -3p * -1) 25 + 4p = -18 + 6p + (-4 + 3p) Reorder the terms: 25 + 4p = -18 + -4 + 6p + 3p Combine like terms: -18 + -4 = -22 25 + 4p = -22 + 6p + 3p Combine like terms: 6p + 3p = 9p 25 + 4p = -22 + 9p Solving 25 + 4p = -22 + 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 = -22 + 9p + -9p Combine like terms: 4p + -9p = -5p 25 + -5p = -22 + 9p + -9p Combine like terms: 9p + -9p = 0 25 + -5p = -22 + 0 25 + -5p = -22 Add '-25' to each side of the equation. 25 + -25 + -5p = -22 + -25 Combine like terms: 25 + -25 = 0 0 + -5p = -22 + -25 -5p = -22 + -25 Combine like terms: -22 + -25 = -47 -5p = -47 Divide each side by '-5'. p = 9.4 Simplifying p = 9.4
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