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Simplifying -2.6 + -3z + -6.6 + -1z = 3z + -7.5 Reorder the terms: -2.6 + -6.6 + -3z + -1z = 3z + -7.5 Combine like terms: -2.6 + -6.6 = -9.2 -9.2 + -3z + -1z = 3z + -7.5 Combine like terms: -3z + -1z = -4z -9.2 + -4z = 3z + -7.5 Reorder the terms: -9.2 + -4z = -7.5 + 3z Solving -9.2 + -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. -9.2 + -4z + -3z = -7.5 + 3z + -3z Combine like terms: -4z + -3z = -7z -9.2 + -7z = -7.5 + 3z + -3z Combine like terms: 3z + -3z = 0 -9.2 + -7z = -7.5 + 0 -9.2 + -7z = -7.5 Add '9.2' to each side of the equation. -9.2 + 9.2 + -7z = -7.5 + 9.2 Combine like terms: -9.2 + 9.2 = 0.0 0.0 + -7z = -7.5 + 9.2 -7z = -7.5 + 9.2 Combine like terms: -7.5 + 9.2 = 1.7 -7z = 1.7 Divide each side by '-7'. z = -0.2428571429 Simplifying z = -0.2428571429
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