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Simplifying 0.1 + -1.6 = 8z + -10.5 + -7z Combine like terms: 0.1 + -1.6 = -1.5 -1.5 = 8z + -10.5 + -7z Reorder the terms: -1.5 = -10.5 + 8z + -7z Combine like terms: 8z + -7z = 1z -1.5 = -10.5 + 1z Solving -1.5 = -10.5 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -1.5 + -1z = -10.5 + 1z + -1z Combine like terms: 1z + -1z = 0 -1.5 + -1z = -10.5 + 0 -1.5 + -1z = -10.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + -1z = -10.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1z = -10.5 + 1.5 -1z = -10.5 + 1.5 Combine like terms: -10.5 + 1.5 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9
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