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Simplifying 7 + -7z = -6z + -54 Reorder the terms: 7 + -7z = -54 + -6z Solving 7 + -7z = -54 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 7 + -7z + 6z = -54 + -6z + 6z Combine like terms: -7z + 6z = -1z 7 + -1z = -54 + -6z + 6z Combine like terms: -6z + 6z = 0 7 + -1z = -54 + 0 7 + -1z = -54 Add '-7' to each side of the equation. 7 + -7 + -1z = -54 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = -54 + -7 -1z = -54 + -7 Combine like terms: -54 + -7 = -61 -1z = -61 Divide each side by '-1'. z = 61 Simplifying z = 61
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