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Simplifying -0.5(z + 7) = 0 Reorder the terms: -0.5(7 + z) = 0 (7 * -0.5 + z * -0.5) = 0 (-3.5 + -0.5z) = 0 Solving -3.5 + -0.5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + -0.5z = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -0.5z = 0 + 3.5 -0.5z = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 -0.5z = 3.5 Divide each side by '-0.5'. z = -7 Simplifying z = -7
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