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Simplifying -7z + 6 = -3z + -1 Reorder the terms: 6 + -7z = -3z + -1 Reorder the terms: 6 + -7z = -1 + -3z Solving 6 + -7z = -1 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 6 + -7z + 3z = -1 + -3z + 3z Combine like terms: -7z + 3z = -4z 6 + -4z = -1 + -3z + 3z Combine like terms: -3z + 3z = 0 6 + -4z = -1 + 0 6 + -4z = -1 Add '-6' to each side of the equation. 6 + -6 + -4z = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -4z = -1 + -6 -4z = -1 + -6 Combine like terms: -1 + -6 = -7 -4z = -7 Divide each side by '-4'. z = 1.75 Simplifying z = 1.75
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