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Simplifying 4p + 22d + -1(21p + 54d) = 0 Reorder the terms: 4p + 22d + -1(54d + 21p) = 0 4p + 22d + (54d * -1 + 21p * -1) = 0 4p + 22d + (-54d + -21p) = 0 Reorder the terms: 22d + -54d + 4p + -21p = 0 Combine like terms: 22d + -54d = -32d -32d + 4p + -21p = 0 Combine like terms: 4p + -21p = -17p -32d + -17p = 0 Solving -32d + -17p = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '17p' to each side of the equation. -32d + -17p + 17p = 0 + 17p Combine like terms: -17p + 17p = 0 -32d + 0 = 0 + 17p -32d = 0 + 17p Remove the zero: -32d = 17p Divide each side by '-32'. d = -0.53125p Simplifying d = -0.53125p
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