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Simplifying 3 + 2z + -1 = 7z + 7 + -42 Reorder the terms: 3 + -1 + 2z = 7z + 7 + -42 Combine like terms: 3 + -1 = 2 2 + 2z = 7z + 7 + -42 Reorder the terms: 2 + 2z = 7 + -42 + 7z Combine like terms: 7 + -42 = -35 2 + 2z = -35 + 7z Solving 2 + 2z = -35 + 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 + 2z + -7z = -35 + 7z + -7z Combine like terms: 2z + -7z = -5z 2 + -5z = -35 + 7z + -7z Combine like terms: 7z + -7z = 0 2 + -5z = -35 + 0 2 + -5z = -35 Add '-2' to each side of the equation. 2 + -2 + -5z = -35 + -2 Combine like terms: 2 + -2 = 0 0 + -5z = -35 + -2 -5z = -35 + -2 Combine like terms: -35 + -2 = -37 -5z = -37 Divide each side by '-5'. z = 7.4 Simplifying z = 7.4
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