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Simplifying -5.1z + -4.6 = -1.2z + 3.2 Reorder the terms: -4.6 + -5.1z = -1.2z + 3.2 Reorder the terms: -4.6 + -5.1z = 3.2 + -1.2z Solving -4.6 + -5.1z = 3.2 + -1.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.2z' to each side of the equation. -4.6 + -5.1z + 1.2z = 3.2 + -1.2z + 1.2z Combine like terms: -5.1z + 1.2z = -3.9z -4.6 + -3.9z = 3.2 + -1.2z + 1.2z Combine like terms: -1.2z + 1.2z = 0.0 -4.6 + -3.9z = 3.2 + 0.0 -4.6 + -3.9z = 3.2 Add '4.6' to each side of the equation. -4.6 + 4.6 + -3.9z = 3.2 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -3.9z = 3.2 + 4.6 -3.9z = 3.2 + 4.6 Combine like terms: 3.2 + 4.6 = 7.8 -3.9z = 7.8 Divide each side by '-3.9'. z = -2 Simplifying z = -2
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