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Simplifying -6.7 + -3z + -4.3 + -1z = 3z + -1.7 Reorder the terms: -6.7 + -4.3 + -3z + -1z = 3z + -1.7 Combine like terms: -6.7 + -4.3 = -11 -11 + -3z + -1z = 3z + -1.7 Combine like terms: -3z + -1z = -4z -11 + -4z = 3z + -1.7 Reorder the terms: -11 + -4z = -1.7 + 3z Solving -11 + -4z = -1.7 + 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. -11 + -4z + -3z = -1.7 + 3z + -3z Combine like terms: -4z + -3z = -7z -11 + -7z = -1.7 + 3z + -3z Combine like terms: 3z + -3z = 0 -11 + -7z = -1.7 + 0 -11 + -7z = -1.7 Add '11' to each side of the equation. -11 + 11 + -7z = -1.7 + 11 Combine like terms: -11 + 11 = 0 0 + -7z = -1.7 + 11 -7z = -1.7 + 11 Combine like terms: -1.7 + 11 = 9.3 -7z = 9.3 Divide each side by '-7'. z = -1.328571429 Simplifying z = -1.328571429
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