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Simplifying -1.9 + -3z + -8.4 + -1z = 3z + 0.3 Reorder the terms: -1.9 + -8.4 + -3z + -1z = 3z + 0.3 Combine like terms: -1.9 + -8.4 = -10.3 -10.3 + -3z + -1z = 3z + 0.3 Combine like terms: -3z + -1z = -4z -10.3 + -4z = 3z + 0.3 Reorder the terms: -10.3 + -4z = 0.3 + 3z Solving -10.3 + -4z = 0.3 + 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. -10.3 + -4z + -3z = 0.3 + 3z + -3z Combine like terms: -4z + -3z = -7z -10.3 + -7z = 0.3 + 3z + -3z Combine like terms: 3z + -3z = 0 -10.3 + -7z = 0.3 + 0 -10.3 + -7z = 0.3 Add '10.3' to each side of the equation. -10.3 + 10.3 + -7z = 0.3 + 10.3 Combine like terms: -10.3 + 10.3 = 0.0 0.0 + -7z = 0.3 + 10.3 -7z = 0.3 + 10.3 Combine like terms: 0.3 + 10.3 = 10.6 -7z = 10.6 Divide each side by '-7'. z = -1.514285714 Simplifying z = -1.514285714
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