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Simplifying 4p + 25 = 6(p + -3) + -3(4 + -2p) Reorder the terms: 25 + 4p = 6(p + -3) + -3(4 + -2p) Reorder the terms: 25 + 4p = 6(-3 + p) + -3(4 + -2p) 25 + 4p = (-3 * 6 + p * 6) + -3(4 + -2p) 25 + 4p = (-18 + 6p) + -3(4 + -2p) 25 + 4p = -18 + 6p + (4 * -3 + -2p * -3) 25 + 4p = -18 + 6p + (-12 + 6p) Reorder the terms: 25 + 4p = -18 + -12 + 6p + 6p Combine like terms: -18 + -12 = -30 25 + 4p = -30 + 6p + 6p Combine like terms: 6p + 6p = 12p 25 + 4p = -30 + 12p Solving 25 + 4p = -30 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 25 + 4p + -12p = -30 + 12p + -12p Combine like terms: 4p + -12p = -8p 25 + -8p = -30 + 12p + -12p Combine like terms: 12p + -12p = 0 25 + -8p = -30 + 0 25 + -8p = -30 Add '-25' to each side of the equation. 25 + -25 + -8p = -30 + -25 Combine like terms: 25 + -25 = 0 0 + -8p = -30 + -25 -8p = -30 + -25 Combine like terms: -30 + -25 = -55 -8p = -55 Divide each side by '-8'. p = 6.875 Simplifying p = 6.875
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