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Simplifying -4.8 + -3z + -2.3 + -1z = -3z + -6.6 Reorder the terms: -4.8 + -2.3 + -3z + -1z = -3z + -6.6 Combine like terms: -4.8 + -2.3 = -7.1 -7.1 + -3z + -1z = -3z + -6.6 Combine like terms: -3z + -1z = -4z -7.1 + -4z = -3z + -6.6 Reorder the terms: -7.1 + -4z = -6.6 + -3z Solving -7.1 + -4z = -6.6 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -7.1 + -4z + 3z = -6.6 + -3z + 3z Combine like terms: -4z + 3z = -1z -7.1 + -1z = -6.6 + -3z + 3z Combine like terms: -3z + 3z = 0 -7.1 + -1z = -6.6 + 0 -7.1 + -1z = -6.6 Add '7.1' to each side of the equation. -7.1 + 7.1 + -1z = -6.6 + 7.1 Combine like terms: -7.1 + 7.1 = 0.0 0.0 + -1z = -6.6 + 7.1 -1z = -6.6 + 7.1 Combine like terms: -6.6 + 7.1 = 0.5 -1z = 0.5 Divide each side by '-1'. z = -0.5 Simplifying z = -0.5
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