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Simplifying -8.7 + -3z + -2.3 + -1z = -3z + -0.9 Reorder the terms: -8.7 + -2.3 + -3z + -1z = -3z + -0.9 Combine like terms: -8.7 + -2.3 = -11 -11 + -3z + -1z = -3z + -0.9 Combine like terms: -3z + -1z = -4z -11 + -4z = -3z + -0.9 Reorder the terms: -11 + -4z = -0.9 + -3z Solving -11 + -4z = -0.9 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -11 + -4z + 3z = -0.9 + -3z + 3z Combine like terms: -4z + 3z = -1z -11 + -1z = -0.9 + -3z + 3z Combine like terms: -3z + 3z = 0 -11 + -1z = -0.9 + 0 -11 + -1z = -0.9 Add '11' to each side of the equation. -11 + 11 + -1z = -0.9 + 11 Combine like terms: -11 + 11 = 0 0 + -1z = -0.9 + 11 -1z = -0.9 + 11 Combine like terms: -0.9 + 11 = 10.1 -1z = 10.1 Divide each side by '-1'. z = -10.1 Simplifying z = -10.1
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