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Simplifying -3.1 + -3z + -6.5 + -1z = 3z + 7.5 Reorder the terms: -3.1 + -6.5 + -3z + -1z = 3z + 7.5 Combine like terms: -3.1 + -6.5 = -9.6 -9.6 + -3z + -1z = 3z + 7.5 Combine like terms: -3z + -1z = -4z -9.6 + -4z = 3z + 7.5 Reorder the terms: -9.6 + -4z = 7.5 + 3z Solving -9.6 + -4z = 7.5 + 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 = 7.5 + 3z + -3z Combine like terms: -4z + -3z = -7z -9.6 + -7z = 7.5 + 3z + -3z Combine like terms: 3z + -3z = 0 -9.6 + -7z = 7.5 + 0 -9.6 + -7z = 7.5 Add '9.6' to each side of the equation. -9.6 + 9.6 + -7z = 7.5 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + -7z = 7.5 + 9.6 -7z = 7.5 + 9.6 Combine like terms: 7.5 + 9.6 = 17.1 -7z = 17.1 Divide each side by '-7'. z = -2.442857143 Simplifying z = -2.442857143
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