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Simplifying -4.7 + -5z + -4.7 + -1z = -5z + -6.1 Reorder the terms: -4.7 + -4.7 + -5z + -1z = -5z + -6.1 Combine like terms: -4.7 + -4.7 = -9.4 -9.4 + -5z + -1z = -5z + -6.1 Combine like terms: -5z + -1z = -6z -9.4 + -6z = -5z + -6.1 Reorder the terms: -9.4 + -6z = -6.1 + -5z Solving -9.4 + -6z = -6.1 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -9.4 + -6z + 5z = -6.1 + -5z + 5z Combine like terms: -6z + 5z = -1z -9.4 + -1z = -6.1 + -5z + 5z Combine like terms: -5z + 5z = 0 -9.4 + -1z = -6.1 + 0 -9.4 + -1z = -6.1 Add '9.4' to each side of the equation. -9.4 + 9.4 + -1z = -6.1 + 9.4 Combine like terms: -9.4 + 9.4 = 0.0 0.0 + -1z = -6.1 + 9.4 -1z = -6.1 + 9.4 Combine like terms: -6.1 + 9.4 = 3.3 -1z = 3.3 Divide each side by '-1'. z = -3.3 Simplifying z = -3.3
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