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Simplifying 6 = 3 + 5(d + -1z) 6 = 3 + (d * 5 + -1z * 5) 6 = 3 + (5d + -5z) Solving 6 = 3 + 5d + -5z Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 6 + -5d = 3 + 5d + -5d + -5z Combine like terms: 5d + -5d = 0 6 + -5d = 3 + 0 + -5z 6 + -5d = 3 + -5z Add '-6' to each side of the equation. 6 + -6 + -5d = 3 + -6 + -5z Combine like terms: 6 + -6 = 0 0 + -5d = 3 + -6 + -5z -5d = 3 + -6 + -5z Combine like terms: 3 + -6 = -3 -5d = -3 + -5z Divide each side by '-5'. d = 0.6 + z Simplifying d = 0.6 + z
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