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Simplifying -7.1 + -5z + -8.9 + -3z = -7z + -8.9 Reorder the terms: -7.1 + -8.9 + -5z + -3z = -7z + -8.9 Combine like terms: -7.1 + -8.9 = -16 -16 + -5z + -3z = -7z + -8.9 Combine like terms: -5z + -3z = -8z -16 + -8z = -7z + -8.9 Reorder the terms: -16 + -8z = -8.9 + -7z Solving -16 + -8z = -8.9 + -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. -16 + -8z + 7z = -8.9 + -7z + 7z Combine like terms: -8z + 7z = -1z -16 + -1z = -8.9 + -7z + 7z Combine like terms: -7z + 7z = 0 -16 + -1z = -8.9 + 0 -16 + -1z = -8.9 Add '16' to each side of the equation. -16 + 16 + -1z = -8.9 + 16 Combine like terms: -16 + 16 = 0 0 + -1z = -8.9 + 16 -1z = -8.9 + 16 Combine like terms: -8.9 + 16 = 7.1 -1z = 7.1 Divide each side by '-1'. z = -7.1 Simplifying z = -7.1
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