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Simplifying -3.1 + -3z + -6.5 + -1z = -3z + 7.9 Reorder the terms: -3.1 + -6.5 + -3z + -1z = -3z + 7.9 Combine like terms: -3.1 + -6.5 = -9.6 -9.6 + -3z + -1z = -3z + 7.9 Combine like terms: -3z + -1z = -4z -9.6 + -4z = -3z + 7.9 Reorder the terms: -9.6 + -4z = 7.9 + -3z Solving -9.6 + -4z = 7.9 + -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. -9.6 + -4z + 3z = 7.9 + -3z + 3z Combine like terms: -4z + 3z = -1z -9.6 + -1z = 7.9 + -3z + 3z Combine like terms: -3z + 3z = 0 -9.6 + -1z = 7.9 + 0 -9.6 + -1z = 7.9 Add '9.6' to each side of the equation. -9.6 + 9.6 + -1z = 7.9 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + -1z = 7.9 + 9.6 -1z = 7.9 + 9.6 Combine like terms: 7.9 + 9.6 = 17.5 -1z = 17.5 Divide each side by '-1'. z = -17.5 Simplifying z = -17.5
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