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Simplifying -4.7 + -6.6 = 6.1z + -5.1z + 0.7 Combine like terms: -4.7 + -6.6 = -11.3 -11.3 = 6.1z + -5.1z + 0.7 Reorder the terms: -11.3 = 0.7 + 6.1z + -5.1z Combine like terms: 6.1z + -5.1z = 1z -11.3 = 0.7 + 1z Solving -11.3 = 0.7 + 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. -11.3 + -1z = 0.7 + 1z + -1z Combine like terms: 1z + -1z = 0 -11.3 + -1z = 0.7 + 0 -11.3 + -1z = 0.7 Add '11.3' to each side of the equation. -11.3 + 11.3 + -1z = 0.7 + 11.3 Combine like terms: -11.3 + 11.3 = 0.0 0.0 + -1z = 0.7 + 11.3 -1z = 0.7 + 11.3 Combine like terms: 0.7 + 11.3 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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