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Simplifying 4z + -4 = -7 + z Reorder the terms: -4 + 4z = -7 + z Solving -4 + 4z = -7 + 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 + 4z + -1z = -7 + z + -1z Combine like terms: 4z + -1z = 3z -4 + 3z = -7 + z + -1z Combine like terms: z + -1z = 0 -4 + 3z = -7 + 0 -4 + 3z = -7 Add '4' to each side of the equation. -4 + 4 + 3z = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 3z = -7 + 4 3z = -7 + 4 Combine like terms: -7 + 4 = -3 3z = -3 Divide each side by '3'. z = -1 Simplifying z = -1
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