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Simplifying 7.6 = 7.8z + -6.8z + -2.5 Reorder the terms: 7.6 = -2.5 + 7.8z + -6.8z Combine like terms: 7.8z + -6.8z = 1z 7.6 = -2.5 + 1z Solving 7.6 = -2.5 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 7.6 + -1z = -2.5 + 1z + -1z Combine like terms: 1z + -1z = 0 7.6 + -1z = -2.5 + 0 7.6 + -1z = -2.5 Add '-7.6' to each side of the equation. 7.6 + -7.6 + -1z = -2.5 + -7.6 Combine like terms: 7.6 + -7.6 = 0.0 0.0 + -1z = -2.5 + -7.6 -1z = -2.5 + -7.6 Combine like terms: -2.5 + -7.6 = -10.1 -1z = -10.1 Divide each side by '-1'. z = 10.1 Simplifying z = 10.1
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