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Simplifying -7.5 + -4z + -2.6 + -2z = -5z + -5.7 Reorder the terms: -7.5 + -2.6 + -4z + -2z = -5z + -5.7 Combine like terms: -7.5 + -2.6 = -10.1 -10.1 + -4z + -2z = -5z + -5.7 Combine like terms: -4z + -2z = -6z -10.1 + -6z = -5z + -5.7 Reorder the terms: -10.1 + -6z = -5.7 + -5z Solving -10.1 + -6z = -5.7 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -10.1 + -6z + 5z = -5.7 + -5z + 5z Combine like terms: -6z + 5z = -1z -10.1 + -1z = -5.7 + -5z + 5z Combine like terms: -5z + 5z = 0 -10.1 + -1z = -5.7 + 0 -10.1 + -1z = -5.7 Add '10.1' to each side of the equation. -10.1 + 10.1 + -1z = -5.7 + 10.1 Combine like terms: -10.1 + 10.1 = 0.0 0.0 + -1z = -5.7 + 10.1 -1z = -5.7 + 10.1 Combine like terms: -5.7 + 10.1 = 4.4 -1z = 4.4 Divide each side by '-1'. z = -4.4 Simplifying z = -4.4
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