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Simplifying 4p + 25 = 6(p + -3) + -3(4 + -30) Reorder the terms: 25 + 4p = 6(p + -3) + -3(4 + -30) Reorder the terms: 25 + 4p = 6(-3 + p) + -3(4 + -30) 25 + 4p = (-3 * 6 + p * 6) + -3(4 + -30) 25 + 4p = (-18 + 6p) + -3(4 + -30) Combine like terms: 4 + -30 = -26 25 + 4p = -18 + 6p + -3(-26) Multiply -3 * -26 25 + 4p = -18 + 6p + 78 Reorder the terms: 25 + 4p = -18 + 78 + 6p Combine like terms: -18 + 78 = 60 25 + 4p = 60 + 6p Solving 25 + 4p = 60 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 25 + 4p + -6p = 60 + 6p + -6p Combine like terms: 4p + -6p = -2p 25 + -2p = 60 + 6p + -6p Combine like terms: 6p + -6p = 0 25 + -2p = 60 + 0 25 + -2p = 60 Add '-25' to each side of the equation. 25 + -25 + -2p = 60 + -25 Combine like terms: 25 + -25 = 0 0 + -2p = 60 + -25 -2p = 60 + -25 Combine like terms: 60 + -25 = 35 -2p = 35 Divide each side by '-2'. p = -17.5 Simplifying p = -17.5
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