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Simplifying -4z + 3 = z + -6 Reorder the terms: 3 + -4z = z + -6 Reorder the terms: 3 + -4z = -6 + z Solving 3 + -4z = -6 + z 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. 3 + -4z + -1z = -6 + z + -1z Combine like terms: -4z + -1z = -5z 3 + -5z = -6 + z + -1z Combine like terms: z + -1z = 0 3 + -5z = -6 + 0 3 + -5z = -6 Add '-3' to each side of the equation. 3 + -3 + -5z = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -5z = -6 + -3 -5z = -6 + -3 Combine like terms: -6 + -3 = -9 -5z = -9 Divide each side by '-5'. z = 1.8 Simplifying z = 1.8
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