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Simplifying -8.3 + -3z + -4.6 + -1z = -3z + -7.6 Reorder the terms: -8.3 + -4.6 + -3z + -1z = -3z + -7.6 Combine like terms: -8.3 + -4.6 = -12.9 -12.9 + -3z + -1z = -3z + -7.6 Combine like terms: -3z + -1z = -4z -12.9 + -4z = -3z + -7.6 Reorder the terms: -12.9 + -4z = -7.6 + -3z Solving -12.9 + -4z = -7.6 + -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. -12.9 + -4z + 3z = -7.6 + -3z + 3z Combine like terms: -4z + 3z = -1z -12.9 + -1z = -7.6 + -3z + 3z Combine like terms: -3z + 3z = 0 -12.9 + -1z = -7.6 + 0 -12.9 + -1z = -7.6 Add '12.9' to each side of the equation. -12.9 + 12.9 + -1z = -7.6 + 12.9 Combine like terms: -12.9 + 12.9 = 0.0 0.0 + -1z = -7.6 + 12.9 -1z = -7.6 + 12.9 Combine like terms: -7.6 + 12.9 = 5.3 -1z = 5.3 Divide each side by '-1'. z = -5.3 Simplifying z = -5.3
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