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Simplifying -1z + -9 + 4z + 1 = 4z + 4 Reorder the terms: -9 + 1 + -1z + 4z = 4z + 4 Combine like terms: -9 + 1 = -8 -8 + -1z + 4z = 4z + 4 Combine like terms: -1z + 4z = 3z -8 + 3z = 4z + 4 Reorder the terms: -8 + 3z = 4 + 4z Solving -8 + 3z = 4 + 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. -8 + 3z + -4z = 4 + 4z + -4z Combine like terms: 3z + -4z = -1z -8 + -1z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -8 + -1z = 4 + 0 -8 + -1z = 4 Add '8' to each side of the equation. -8 + 8 + -1z = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = 4 + 8 -1z = 4 + 8 Combine like terms: 4 + 8 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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