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Simplifying 7 + -3z = 8 + 2z Solving 7 + -3z = 8 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 7 + -3z + -2z = 8 + 2z + -2z Combine like terms: -3z + -2z = -5z 7 + -5z = 8 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + -5z = 8 + 0 7 + -5z = 8 Add '-7' to each side of the equation. 7 + -7 + -5z = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = 8 + -7 -5z = 8 + -7 Combine like terms: 8 + -7 = 1 -5z = 1 Divide each side by '-5'. z = -0.2 Simplifying z = -0.2
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