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Simplifying 4z + 4 + -2z = 7 + z + -8 Reorder the terms: 4 + 4z + -2z = 7 + z + -8 Combine like terms: 4z + -2z = 2z 4 + 2z = 7 + z + -8 Reorder the terms: 4 + 2z = 7 + -8 + z Combine like terms: 7 + -8 = -1 4 + 2z = -1 + z Solving 4 + 2z = -1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 4 + 2z + -1z = -1 + z + -1z Combine like terms: 2z + -1z = 1z 4 + 1z = -1 + z + -1z Combine like terms: z + -1z = 0 4 + 1z = -1 + 0 4 + 1z = -1 Add '-4' to each side of the equation. 4 + -4 + 1z = -1 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = -1 + -4 1z = -1 + -4 Combine like terms: -1 + -4 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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