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Simplifying -6 = 0.5z + -7 Reorder the terms: -6 = -7 + 0.5z Solving -6 = -7 + 0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5z' to each side of the equation. -6 + -0.5z = -7 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -6 + -0.5z = -7 + 0.0 -6 + -0.5z = -7 Add '6' to each side of the equation. -6 + 6 + -0.5z = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -0.5z = -7 + 6 -0.5z = -7 + 6 Combine like terms: -7 + 6 = -1 -0.5z = -1 Divide each side by '-0.5'. z = 2 Simplifying z = 2
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