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Simplifying 10dz + -5 + 3z = 8 + -1z Reorder the terms: -5 + 10dz + 3z = 8 + -1z Solving -5 + 10dz + 3z = 8 + -1z Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 10dz + 5 + 3z = 8 + 5 + -1z Reorder the terms: -5 + 5 + 10dz + 3z = 8 + 5 + -1z Combine like terms: -5 + 5 = 0 0 + 10dz + 3z = 8 + 5 + -1z 10dz + 3z = 8 + 5 + -1z Combine like terms: 8 + 5 = 13 10dz + 3z = 13 + -1z Add '-3z' to each side of the equation. 10dz + 3z + -3z = 13 + -1z + -3z Combine like terms: 3z + -3z = 0 10dz + 0 = 13 + -1z + -3z 10dz = 13 + -1z + -3z Combine like terms: -1z + -3z = -4z 10dz = 13 + -4z Divide each side by '10z'. d = 1.3z-1 + -0.4 Simplifying d = 1.3z-1 + -0.4 Reorder the terms: d = -0.4 + 1.3z-1
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