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Simplifying 5 + -7 + z + 3 + -6z + 4 = 0 Reorder the terms: 5 + -7 + 3 + 4 + z + -6z = 0 Combine like terms: 5 + -7 = -2 -2 + 3 + 4 + z + -6z = 0 Combine like terms: -2 + 3 = 1 1 + 4 + z + -6z = 0 Combine like terms: 1 + 4 = 5 5 + z + -6z = 0 Combine like terms: z + -6z = -5z 5 + -5z = 0 Solving 5 + -5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -5z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5z = 0 + -5 -5z = 0 + -5 Combine like terms: 0 + -5 = -5 -5z = -5 Divide each side by '-5'. z = 1 Simplifying z = 1
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