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Simplifying -3.7 + -3z + -3.2 + -1z = -3z + -3.8 Reorder the terms: -3.7 + -3.2 + -3z + -1z = -3z + -3.8 Combine like terms: -3.7 + -3.2 = -6.9 -6.9 + -3z + -1z = -3z + -3.8 Combine like terms: -3z + -1z = -4z -6.9 + -4z = -3z + -3.8 Reorder the terms: -6.9 + -4z = -3.8 + -3z Solving -6.9 + -4z = -3.8 + -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. -6.9 + -4z + 3z = -3.8 + -3z + 3z Combine like terms: -4z + 3z = -1z -6.9 + -1z = -3.8 + -3z + 3z Combine like terms: -3z + 3z = 0 -6.9 + -1z = -3.8 + 0 -6.9 + -1z = -3.8 Add '6.9' to each side of the equation. -6.9 + 6.9 + -1z = -3.8 + 6.9 Combine like terms: -6.9 + 6.9 = 0.0 0.0 + -1z = -3.8 + 6.9 -1z = -3.8 + 6.9 Combine like terms: -3.8 + 6.9 = 3.1 -1z = 3.1 Divide each side by '-1'. z = -3.1 Simplifying z = -3.1
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