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Simplifying 0.5z + -1 = 4z + -3 + -3z Reorder the terms: -1 + 0.5z = 4z + -3 + -3z Reorder the terms: -1 + 0.5z = -3 + 4z + -3z Combine like terms: 4z + -3z = 1z -1 + 0.5z = -3 + 1z Solving -1 + 0.5z = -3 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -1 + 0.5z + -1z = -3 + 1z + -1z Combine like terms: 0.5z + -1z = -0.5z -1 + -0.5z = -3 + 1z + -1z Combine like terms: 1z + -1z = 0 -1 + -0.5z = -3 + 0 -1 + -0.5z = -3 Add '1' to each side of the equation. -1 + 1 + -0.5z = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -0.5z = -3 + 1 -0.5z = -3 + 1 Combine like terms: -3 + 1 = -2 -0.5z = -2 Divide each side by '-0.5'. z = 4 Simplifying z = 4
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