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Simplifying -4z + 7 + -2z = -3 + z Reorder the terms: 7 + -4z + -2z = -3 + z Combine like terms: -4z + -2z = -6z 7 + -6z = -3 + z Solving 7 + -6z = -3 + 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. 7 + -6z + -1z = -3 + z + -1z Combine like terms: -6z + -1z = -7z 7 + -7z = -3 + z + -1z Combine like terms: z + -1z = 0 7 + -7z = -3 + 0 7 + -7z = -3 Add '-7' to each side of the equation. 7 + -7 + -7z = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -7z = -3 + -7 -7z = -3 + -7 Combine like terms: -3 + -7 = -10 -7z = -10 Divide each side by '-7'. z = 1.428571429 Simplifying z = 1.428571429
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