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Simplifying -4(-4d + -5) + -6(8p + 3) = 0 Reorder the terms: -4(-5 + -4d) + -6(8p + 3) = 0 (-5 * -4 + -4d * -4) + -6(8p + 3) = 0 (20 + 16d) + -6(8p + 3) = 0 Reorder the terms: 20 + 16d + -6(3 + 8p) = 0 20 + 16d + (3 * -6 + 8p * -6) = 0 20 + 16d + (-18 + -48p) = 0 Reorder the terms: 20 + -18 + 16d + -48p = 0 Combine like terms: 20 + -18 = 2 2 + 16d + -48p = 0 Solving 2 + 16d + -48p = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 16d + -2 + -48p = 0 + -2 Reorder the terms: 2 + -2 + 16d + -48p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 16d + -48p = 0 + -2 16d + -48p = 0 + -2 Combine like terms: 0 + -2 = -2 16d + -48p = -2 Add '48p' to each side of the equation. 16d + -48p + 48p = -2 + 48p Combine like terms: -48p + 48p = 0 16d + 0 = -2 + 48p 16d = -2 + 48p Divide each side by '16'. d = -0.125 + 3p Simplifying d = -0.125 + 3p
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