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Simplifying 8z + -2 = 3(d + -2) Reorder the terms: -2 + 8z = 3(d + -2) Reorder the terms: -2 + 8z = 3(-2 + d) -2 + 8z = (-2 * 3 + d * 3) -2 + 8z = (-6 + 3d) Solving -2 + 8z = -6 + 3d Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8z = -6 + 2 + 3d Combine like terms: -2 + 2 = 0 0 + 8z = -6 + 2 + 3d 8z = -6 + 2 + 3d Combine like terms: -6 + 2 = -4 8z = -4 + 3d Divide each side by '8'. z = -0.5 + 0.375d Simplifying z = -0.5 + 0.375d
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