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Simplifying -7z + 10 = -3z + -10 Reorder the terms: 10 + -7z = -3z + -10 Reorder the terms: 10 + -7z = -10 + -3z Solving 10 + -7z = -10 + -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. 10 + -7z + 3z = -10 + -3z + 3z Combine like terms: -7z + 3z = -4z 10 + -4z = -10 + -3z + 3z Combine like terms: -3z + 3z = 0 10 + -4z = -10 + 0 10 + -4z = -10 Add '-10' to each side of the equation. 10 + -10 + -4z = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4z = -10 + -10 -4z = -10 + -10 Combine like terms: -10 + -10 = -20 -4z = -20 Divide each side by '-4'. z = 5 Simplifying z = 5
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