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Simplifying -6.8 + -3z + -2.5 + -1z = -3z + 0.4 Reorder the terms: -6.8 + -2.5 + -3z + -1z = -3z + 0.4 Combine like terms: -6.8 + -2.5 = -9.3 -9.3 + -3z + -1z = -3z + 0.4 Combine like terms: -3z + -1z = -4z -9.3 + -4z = -3z + 0.4 Reorder the terms: -9.3 + -4z = 0.4 + -3z Solving -9.3 + -4z = 0.4 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -9.3 + -4z + 3z = 0.4 + -3z + 3z Combine like terms: -4z + 3z = -1z -9.3 + -1z = 0.4 + -3z + 3z Combine like terms: -3z + 3z = 0 -9.3 + -1z = 0.4 + 0 -9.3 + -1z = 0.4 Add '9.3' to each side of the equation. -9.3 + 9.3 + -1z = 0.4 + 9.3 Combine like terms: -9.3 + 9.3 = 0.0 0.0 + -1z = 0.4 + 9.3 -1z = 0.4 + 9.3 Combine like terms: 0.4 + 9.3 = 9.7 -1z = 9.7 Divide each side by '-1'. z = -9.7 Simplifying z = -9.7
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