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Simplifying -1.5 + -6.5 = 2.9z + -1.9z + -5.7 Combine like terms: -1.5 + -6.5 = -8 -8 = 2.9z + -1.9z + -5.7 Reorder the terms: -8 = -5.7 + 2.9z + -1.9z Combine like terms: 2.9z + -1.9z = 1z -8 = -5.7 + 1z Solving -8 = -5.7 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -8 + -1z = -5.7 + 1z + -1z Combine like terms: 1z + -1z = 0 -8 + -1z = -5.7 + 0 -8 + -1z = -5.7 Add '8' to each side of the equation. -8 + 8 + -1z = -5.7 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = -5.7 + 8 -1z = -5.7 + 8 Combine like terms: -5.7 + 8 = 2.3 -1z = 2.3 Divide each side by '-1'. z = -2.3 Simplifying z = -2.3
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