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Simplifying 6z + 6 * 6z + 6 * 8 + 6z = 0 Multiply 6 * 6 6z + 36z + 6 * 8 + 6z = 0 Multiply 6 * 8 6z + 36z + 48 + 6z = 0 Reorder the terms: 48 + 6z + 36z + 6z = 0 Combine like terms: 6z + 36z = 42z 48 + 42z + 6z = 0 Combine like terms: 42z + 6z = 48z 48 + 48z = 0 Solving 48 + 48z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 48z = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 48z = 0 + -48 48z = 0 + -48 Combine like terms: 0 + -48 = -48 48z = -48 Divide each side by '48'. z = -1 Simplifying z = -1
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