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Simplifying 5z + -3.1 = 4z + -4.7 Reorder the terms: -3.1 + 5z = 4z + -4.7 Reorder the terms: -3.1 + 5z = -4.7 + 4z Solving -3.1 + 5z = -4.7 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -3.1 + 5z + -4z = -4.7 + 4z + -4z Combine like terms: 5z + -4z = 1z -3.1 + 1z = -4.7 + 4z + -4z Combine like terms: 4z + -4z = 0 -3.1 + 1z = -4.7 + 0 -3.1 + 1z = -4.7 Add '3.1' to each side of the equation. -3.1 + 3.1 + 1z = -4.7 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 1z = -4.7 + 3.1 1z = -4.7 + 3.1 Combine like terms: -4.7 + 3.1 = -1.6 1z = -1.6 Divide each side by '1'. z = -1.6 Simplifying z = -1.6
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