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Simplifying -7.5 + -4z + -2.6 + -2z = -5 + -5.7 Reorder the terms: -7.5 + -2.6 + -4z + -2z = -5 + -5.7 Combine like terms: -7.5 + -2.6 = -10.1 -10.1 + -4z + -2z = -5 + -5.7 Combine like terms: -4z + -2z = -6z -10.1 + -6z = -5 + -5.7 Combine like terms: -5 + -5.7 = -10.7 -10.1 + -6z = -10.7 Solving -10.1 + -6z = -10.7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10.1' to each side of the equation. -10.1 + 10.1 + -6z = -10.7 + 10.1 Combine like terms: -10.1 + 10.1 = 0.0 0.0 + -6z = -10.7 + 10.1 -6z = -10.7 + 10.1 Combine like terms: -10.7 + 10.1 = -0.6 -6z = -0.6 Divide each side by '-6'. z = 0.1 Simplifying z = 0.1
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