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Simplifying 4d + 25 = 6(p + -3) + -3(4 + -3p) Reorder the terms: 25 + 4d = 6(p + -3) + -3(4 + -3p) Reorder the terms: 25 + 4d = 6(-3 + p) + -3(4 + -3p) 25 + 4d = (-3 * 6 + p * 6) + -3(4 + -3p) 25 + 4d = (-18 + 6p) + -3(4 + -3p) 25 + 4d = -18 + 6p + (4 * -3 + -3p * -3) 25 + 4d = -18 + 6p + (-12 + 9p) Reorder the terms: 25 + 4d = -18 + -12 + 6p + 9p Combine like terms: -18 + -12 = -30 25 + 4d = -30 + 6p + 9p Combine like terms: 6p + 9p = 15p 25 + 4d = -30 + 15p Solving 25 + 4d = -30 + 15p Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4d = -30 + -25 + 15p Combine like terms: 25 + -25 = 0 0 + 4d = -30 + -25 + 15p 4d = -30 + -25 + 15p Combine like terms: -30 + -25 = -55 4d = -55 + 15p Divide each side by '4'. d = -13.75 + 3.75p Simplifying d = -13.75 + 3.75p
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