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Simplifying -1.6 + -5z + -5.3 + -3z = -7z + 6.3 Reorder the terms: -1.6 + -5.3 + -5z + -3z = -7z + 6.3 Combine like terms: -1.6 + -5.3 = -6.9 -6.9 + -5z + -3z = -7z + 6.3 Combine like terms: -5z + -3z = -8z -6.9 + -8z = -7z + 6.3 Reorder the terms: -6.9 + -8z = 6.3 + -7z Solving -6.9 + -8z = 6.3 + -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. -6.9 + -8z + 7z = 6.3 + -7z + 7z Combine like terms: -8z + 7z = -1z -6.9 + -1z = 6.3 + -7z + 7z Combine like terms: -7z + 7z = 0 -6.9 + -1z = 6.3 + 0 -6.9 + -1z = 6.3 Add '6.9' to each side of the equation. -6.9 + 6.9 + -1z = 6.3 + 6.9 Combine like terms: -6.9 + 6.9 = 0.0 0.0 + -1z = 6.3 + 6.9 -1z = 6.3 + 6.9 Combine like terms: 6.3 + 6.9 = 13.2 -1z = 13.2 Divide each side by '-1'. z = -13.2 Simplifying z = -13.2
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