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Simplifying -4(d + -1z) = 3(d + 5) (d * -4 + -1z * -4) = 3(d + 5) (-4d + 4z) = 3(d + 5) Reorder the terms: -4d + 4z = 3(5 + d) -4d + 4z = (5 * 3 + d * 3) -4d + 4z = (15 + 3d) Solving -4d + 4z = 15 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -4d + -3d + 4z = 15 + 3d + -3d Combine like terms: -4d + -3d = -7d -7d + 4z = 15 + 3d + -3d Combine like terms: 3d + -3d = 0 -7d + 4z = 15 + 0 -7d + 4z = 15 Add '-4z' to each side of the equation. -7d + 4z + -4z = 15 + -4z Combine like terms: 4z + -4z = 0 -7d + 0 = 15 + -4z -7d = 15 + -4z Divide each side by '-7'. d = -2.142857143 + 0.5714285714z Simplifying d = -2.142857143 + 0.5714285714z
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