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Simplifying -7.8 + -4z + -6.5 + -2z = -5z + -5.5 Reorder the terms: -7.8 + -6.5 + -4z + -2z = -5z + -5.5 Combine like terms: -7.8 + -6.5 = -14.3 -14.3 + -4z + -2z = -5z + -5.5 Combine like terms: -4z + -2z = -6z -14.3 + -6z = -5z + -5.5 Reorder the terms: -14.3 + -6z = -5.5 + -5z Solving -14.3 + -6z = -5.5 + -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. -14.3 + -6z + 5z = -5.5 + -5z + 5z Combine like terms: -6z + 5z = -1z -14.3 + -1z = -5.5 + -5z + 5z Combine like terms: -5z + 5z = 0 -14.3 + -1z = -5.5 + 0 -14.3 + -1z = -5.5 Add '14.3' to each side of the equation. -14.3 + 14.3 + -1z = -5.5 + 14.3 Combine like terms: -14.3 + 14.3 = 0.0 0.0 + -1z = -5.5 + 14.3 -1z = -5.5 + 14.3 Combine like terms: -5.5 + 14.3 = 8.8 -1z = 8.8 Divide each side by '-1'. z = -8.8 Simplifying z = -8.8
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