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Simplifying -8.1 + -6z + -8.8 + -3z = -8z + 4.7 Reorder the terms: -8.1 + -8.8 + -6z + -3z = -8z + 4.7 Combine like terms: -8.1 + -8.8 = -16.9 -16.9 + -6z + -3z = -8z + 4.7 Combine like terms: -6z + -3z = -9z -16.9 + -9z = -8z + 4.7 Reorder the terms: -16.9 + -9z = 4.7 + -8z Solving -16.9 + -9z = 4.7 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -16.9 + -9z + 8z = 4.7 + -8z + 8z Combine like terms: -9z + 8z = -1z -16.9 + -1z = 4.7 + -8z + 8z Combine like terms: -8z + 8z = 0 -16.9 + -1z = 4.7 + 0 -16.9 + -1z = 4.7 Add '16.9' to each side of the equation. -16.9 + 16.9 + -1z = 4.7 + 16.9 Combine like terms: -16.9 + 16.9 = 0.0 0.0 + -1z = 4.7 + 16.9 -1z = 4.7 + 16.9 Combine like terms: 4.7 + 16.9 = 21.6 -1z = 21.6 Divide each side by '-1'. z = -21.6 Simplifying z = -21.6
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