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Simplifying -4.9 + -6z + -2.6 + -3z = -8z + 2.1 Reorder the terms: -4.9 + -2.6 + -6z + -3z = -8z + 2.1 Combine like terms: -4.9 + -2.6 = -7.5 -7.5 + -6z + -3z = -8z + 2.1 Combine like terms: -6z + -3z = -9z -7.5 + -9z = -8z + 2.1 Reorder the terms: -7.5 + -9z = 2.1 + -8z Solving -7.5 + -9z = 2.1 + -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. -7.5 + -9z + 8z = 2.1 + -8z + 8z Combine like terms: -9z + 8z = -1z -7.5 + -1z = 2.1 + -8z + 8z Combine like terms: -8z + 8z = 0 -7.5 + -1z = 2.1 + 0 -7.5 + -1z = 2.1 Add '7.5' to each side of the equation. -7.5 + 7.5 + -1z = 2.1 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -1z = 2.1 + 7.5 -1z = 2.1 + 7.5 Combine like terms: 2.1 + 7.5 = 9.6 -1z = 9.6 Divide each side by '-1'. z = -9.6 Simplifying z = -9.6
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