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Simplifying -7.7 + -4z + -2.5 + -1z = -4z + -8.7 Reorder the terms: -7.7 + -2.5 + -4z + -1z = -4z + -8.7 Combine like terms: -7.7 + -2.5 = -10.2 -10.2 + -4z + -1z = -4z + -8.7 Combine like terms: -4z + -1z = -5z -10.2 + -5z = -4z + -8.7 Reorder the terms: -10.2 + -5z = -8.7 + -4z Solving -10.2 + -5z = -8.7 + -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. -10.2 + -5z + 4z = -8.7 + -4z + 4z Combine like terms: -5z + 4z = -1z -10.2 + -1z = -8.7 + -4z + 4z Combine like terms: -4z + 4z = 0 -10.2 + -1z = -8.7 + 0 -10.2 + -1z = -8.7 Add '10.2' to each side of the equation. -10.2 + 10.2 + -1z = -8.7 + 10.2 Combine like terms: -10.2 + 10.2 = 0.0 0.0 + -1z = -8.7 + 10.2 -1z = -8.7 + 10.2 Combine like terms: -8.7 + 10.2 = 1.5 -1z = 1.5 Divide each side by '-1'. z = -1.5 Simplifying z = -1.5
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