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Simplifying 2 + -3z = 7z + -48 Reorder the terms: 2 + -3z = -48 + 7z Solving 2 + -3z = -48 + 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. 2 + -3z + -7z = -48 + 7z + -7z Combine like terms: -3z + -7z = -10z 2 + -10z = -48 + 7z + -7z Combine like terms: 7z + -7z = 0 2 + -10z = -48 + 0 2 + -10z = -48 Add '-2' to each side of the equation. 2 + -2 + -10z = -48 + -2 Combine like terms: 2 + -2 = 0 0 + -10z = -48 + -2 -10z = -48 + -2 Combine like terms: -48 + -2 = -50 -10z = -50 Divide each side by '-10'. z = 5 Simplifying z = 5
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