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Simplifying -3z + -7 = 7z + 33 Reorder the terms: -7 + -3z = 7z + 33 Reorder the terms: -7 + -3z = 33 + 7z Solving -7 + -3z = 33 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -7 + -3z + -7z = 33 + 7z + -7z Combine like terms: -3z + -7z = -10z -7 + -10z = 33 + 7z + -7z Combine like terms: 7z + -7z = 0 -7 + -10z = 33 + 0 -7 + -10z = 33 Add '7' to each side of the equation. -7 + 7 + -10z = 33 + 7 Combine like terms: -7 + 7 = 0 0 + -10z = 33 + 7 -10z = 33 + 7 Combine like terms: 33 + 7 = 40 -10z = 40 Divide each side by '-10'. z = -4 Simplifying z = -4
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