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Simplifying -2.4 + -6z + -7.7 + -2z = -7z + -1.5 Reorder the terms: -2.4 + -7.7 + -6z + -2z = -7z + -1.5 Combine like terms: -2.4 + -7.7 = -10.1 -10.1 + -6z + -2z = -7z + -1.5 Combine like terms: -6z + -2z = -8z -10.1 + -8z = -7z + -1.5 Reorder the terms: -10.1 + -8z = -1.5 + -7z Solving -10.1 + -8z = -1.5 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -10.1 + -8z + 7z = -1.5 + -7z + 7z Combine like terms: -8z + 7z = -1z -10.1 + -1z = -1.5 + -7z + 7z Combine like terms: -7z + 7z = 0 -10.1 + -1z = -1.5 + 0 -10.1 + -1z = -1.5 Add '10.1' to each side of the equation. -10.1 + 10.1 + -1z = -1.5 + 10.1 Combine like terms: -10.1 + 10.1 = 0.0 0.0 + -1z = -1.5 + 10.1 -1z = -1.5 + 10.1 Combine like terms: -1.5 + 10.1 = 8.6 -1z = 8.6 Divide each side by '-1'. z = -8.6 Simplifying z = -8.6
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