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Simplifying -10 + -1z = -3z + 10 + 7z Reorder the terms: -10 + -1z = 10 + -3z + 7z Combine like terms: -3z + 7z = 4z -10 + -1z = 10 + 4z Solving -10 + -1z = 10 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -10 + -1z + -4z = 10 + 4z + -4z Combine like terms: -1z + -4z = -5z -10 + -5z = 10 + 4z + -4z Combine like terms: 4z + -4z = 0 -10 + -5z = 10 + 0 -10 + -5z = 10 Add '10' to each side of the equation. -10 + 10 + -5z = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -5z = 10 + 10 -5z = 10 + 10 Combine like terms: 10 + 10 = 20 -5z = 20 Divide each side by '-5'. z = -4 Simplifying z = -4
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