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Simplifying -4.7 + -4z + -3.6 + -2z = -5z + 6.6 Reorder the terms: -4.7 + -3.6 + -4z + -2z = -5z + 6.6 Combine like terms: -4.7 + -3.6 = -8.3 -8.3 + -4z + -2z = -5z + 6.6 Combine like terms: -4z + -2z = -6z -8.3 + -6z = -5z + 6.6 Reorder the terms: -8.3 + -6z = 6.6 + -5z Solving -8.3 + -6z = 6.6 + -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. -8.3 + -6z + 5z = 6.6 + -5z + 5z Combine like terms: -6z + 5z = -1z -8.3 + -1z = 6.6 + -5z + 5z Combine like terms: -5z + 5z = 0 -8.3 + -1z = 6.6 + 0 -8.3 + -1z = 6.6 Add '8.3' to each side of the equation. -8.3 + 8.3 + -1z = 6.6 + 8.3 Combine like terms: -8.3 + 8.3 = 0.0 0.0 + -1z = 6.6 + 8.3 -1z = 6.6 + 8.3 Combine like terms: 6.6 + 8.3 = 14.9 -1z = 14.9 Divide each side by '-1'. z = -14.9 Simplifying z = -14.9
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