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Simplifying -536 + -4z + -5.3 + -2z = -5z + 5.1 Reorder the terms: -536 + -5.3 + -4z + -2z = -5z + 5.1 Combine like terms: -536 + -5.3 = -541.3 -541.3 + -4z + -2z = -5z + 5.1 Combine like terms: -4z + -2z = -6z -541.3 + -6z = -5z + 5.1 Reorder the terms: -541.3 + -6z = 5.1 + -5z Solving -541.3 + -6z = 5.1 + -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. -541.3 + -6z + 5z = 5.1 + -5z + 5z Combine like terms: -6z + 5z = -1z -541.3 + -1z = 5.1 + -5z + 5z Combine like terms: -5z + 5z = 0 -541.3 + -1z = 5.1 + 0 -541.3 + -1z = 5.1 Add '541.3' to each side of the equation. -541.3 + 541.3 + -1z = 5.1 + 541.3 Combine like terms: -541.3 + 541.3 = 0.0 0.0 + -1z = 5.1 + 541.3 -1z = 5.1 + 541.3 Combine like terms: 5.1 + 541.3 = 546.4 -1z = 546.4 Divide each side by '-1'. z = -546.4 Simplifying z = -546.4
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