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Simplifying 4p + 25 = 6(p + -3) + -3(4) + -3p Reorder the terms: 25 + 4p = 6(p + -3) + -3(4) + -3p Reorder the terms: 25 + 4p = 6(-3 + p) + -3(4) + -3p 25 + 4p = (-3 * 6 + p * 6) + -3(4) + -3p 25 + 4p = (-18 + 6p) + -3(4) + -3p Multiply -3 * 4 25 + 4p = -18 + 6p + -12 + -3p Reorder the terms: 25 + 4p = -18 + -12 + 6p + -3p Combine like terms: -18 + -12 = -30 25 + 4p = -30 + 6p + -3p Combine like terms: 6p + -3p = 3p 25 + 4p = -30 + 3p Solving 25 + 4p = -30 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 25 + 4p + -3p = -30 + 3p + -3p Combine like terms: 4p + -3p = 1p 25 + 1p = -30 + 3p + -3p Combine like terms: 3p + -3p = 0 25 + 1p = -30 + 0 25 + 1p = -30 Add '-25' to each side of the equation. 25 + -25 + 1p = -30 + -25 Combine like terms: 25 + -25 = 0 0 + 1p = -30 + -25 1p = -30 + -25 Combine like terms: -30 + -25 = -55 1p = -55 Divide each side by '1'. p = -55 Simplifying p = -55
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