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Simplifying -6.5 + -4z + -5.1 + -1z = -4z + 10.7 Reorder the terms: -6.5 + -5.1 + -4z + -1z = -4z + 10.7 Combine like terms: -6.5 + -5.1 = -11.6 -11.6 + -4z + -1z = -4z + 10.7 Combine like terms: -4z + -1z = -5z -11.6 + -5z = -4z + 10.7 Reorder the terms: -11.6 + -5z = 10.7 + -4z Solving -11.6 + -5z = 10.7 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -11.6 + -5z + 4z = 10.7 + -4z + 4z Combine like terms: -5z + 4z = -1z -11.6 + -1z = 10.7 + -4z + 4z Combine like terms: -4z + 4z = 0 -11.6 + -1z = 10.7 + 0 -11.6 + -1z = 10.7 Add '11.6' to each side of the equation. -11.6 + 11.6 + -1z = 10.7 + 11.6 Combine like terms: -11.6 + 11.6 = 0.0 0.0 + -1z = 10.7 + 11.6 -1z = 10.7 + 11.6 Combine like terms: 10.7 + 11.6 = 22.3 -1z = 22.3 Divide each side by '-1'. z = -22.3 Simplifying z = -22.3
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