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Simplifying -2.9 + -6z + -4.2 + -2z = -7z + -1.6 Reorder the terms: -2.9 + -4.2 + -6z + -2z = -7z + -1.6 Combine like terms: -2.9 + -4.2 = -7.1 -7.1 + -6z + -2z = -7z + -1.6 Combine like terms: -6z + -2z = -8z -7.1 + -8z = -7z + -1.6 Reorder the terms: -7.1 + -8z = -1.6 + -7z Solving -7.1 + -8z = -1.6 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -7.1 + -8z + 7z = -1.6 + -7z + 7z Combine like terms: -8z + 7z = -1z -7.1 + -1z = -1.6 + -7z + 7z Combine like terms: -7z + 7z = 0 -7.1 + -1z = -1.6 + 0 -7.1 + -1z = -1.6 Add '7.1' to each side of the equation. -7.1 + 7.1 + -1z = -1.6 + 7.1 Combine like terms: -7.1 + 7.1 = 0.0 0.0 + -1z = -1.6 + 7.1 -1z = -1.6 + 7.1 Combine like terms: -1.6 + 7.1 = 5.5 -1z = 5.5 Divide each side by '-1'. z = -5.5 Simplifying z = -5.5
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